Precalculus
17th Edition
ISBN: 9780078035609
Author: Miller, Julie, Gerken, Donna.
Publisher: Mcgraw-hill Education,
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Textbook Question
Chapter 3.6, Problem 37PE
For Exercises 35-38, a graph of data is given. From visual inspection, which model would best fit the data? Choose from
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Given:(1, 2.0), (1.5, 3.5), (2, 4.0), (4, 5.8), (6, 7.0), (8, 7.8).(a) use a graphing utility to create a scatter plot of the data, (b) decide whether the data could best be modeled by a linear model, an exponential model, or a logarithmic model, (c) explain why you chose the model you did in part (b), (d) use the regression feature of the graphing utility to find the model you chose in part (b) for the data and graph the model with the scatter plot, and (e) determine how well the model you chose fits the data.
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Chapter 3 Solutions
Precalculus
Ch. 3.1 - Determine whether the function is one-to-one....Ch. 3.1 - Use the horizontal line test to determine if the...Ch. 3.1 - Determine whether the function is one-to-one....Ch. 3.1 - Determine whether the functions are inverses....Ch. 3.1 - Write an equation for the inverse function for...Ch. 3.1 - Write an equation for the inverse function for the...Ch. 3.1 - Given nx=x2+1forx0, write an equation of the...Ch. 3.1 - Given gx=x+2, find an equation of the inverse.Ch. 3.1 - Given the function f=1,2,2,3,3,4 write the set of...Ch. 3.1 - The graphs of a function and its inverse are...
Ch. 3.1 - If no horizontal line intersects the graph of a...Ch. 3.1 - Given a one-to one function f, if fa=fb,thenab.Ch. 3.1 - Let f be a one-to-one function and let g be the...Ch. 3.1 - If a,b is a point on the graph of a one-to-one...Ch. 3.1 - For Exercises 7-12, a relation in x and y is...Ch. 3.1 - For Exercises 7-12, a relation in x and y is...Ch. 3.1 - For Exercises 7-12, a relation in x and y is...Ch. 3.1 - For Exercises 7-12, a relation in x and y is...Ch. 3.1 - For Exercises 7-12, a relation in x and y is...Ch. 3.1 - For Exercises 7-12, a relation in x and y is...Ch. 3.1 - For Exercises 13-22, determine if the relation...Ch. 3.1 - For Exercises 13-22, determine if the relation...Ch. 3.1 - For Exercises 13-22, determine if the relation...Ch. 3.1 - For Exercises 13-22, determine if the relation...Ch. 3.1 - For Exercises 13-22, determine if the relation...Ch. 3.1 - For Exercises 13-22, determine if the relation...Ch. 3.1 - For Exercises 13-22, determine if the relation...Ch. 3.1 - For Exercises 13-22, determine if the relation...Ch. 3.1 - For Exercises 13-22, determine if the relation...Ch. 3.1 - For Exercises 13-22, determine if the relation...Ch. 3.1 - For Exercises 23-30, use the definition of a...Ch. 3.1 - For Exercises 23-30, use the definition of a...Ch. 3.1 - For Exercises 23-30, use the definition of a...Ch. 3.1 - For Exercises 23-30, use the definition of a...Ch. 3.1 - For Exercises 23-30, use the definition of a...Ch. 3.1 - For Exercises 23-30, use the definition of a...Ch. 3.1 - For Exercises 23-30, use the definition of a...Ch. 3.1 - For Exercises 23-30, use the definition of a...Ch. 3.1 - For Exercises 31-36, determine whether the two...Ch. 3.1 - For Exercises 31-36, determine whether the two...Ch. 3.1 - For Exercises 31-36, determine whether the two...Ch. 3.1 - For Exercises 31-36, determine whether the two...Ch. 3.1 - For Exercises 31-36, determine whether the two...Ch. 3.1 - For Exercises 31-36, determine whether the two...Ch. 3.1 - There were 2000 applicants for enrollment to the...Ch. 3.1 - The monthly sales for January for a whole foods...Ch. 3.1 - a. Show that fx=2x3 defines a one-to-one function....Ch. 3.1 - a. Show that fx=4x+4 defines a one-to-one...Ch. 3.1 - For Exercises 41-52, a one-to-one function is...Ch. 3.1 - For Exercises 41-52, a one-to-one function is...Ch. 3.1 - For Exercises 41-52, a one-to-one function is...Ch. 3.1 - For Exercises 41-52, a one-to-one function is...Ch. 3.1 - For Exercises 41-52, a one-to-one function is...Ch. 3.1 - For Exercises 41-52, a one-to-one function is...Ch. 3.1 - For Exercises 41-52, a one-to-one function is...Ch. 3.1 - For Exercises 41-52, a one-to-one function is...Ch. 3.1 - For Exercises 41-52, a one-to-one function is...Ch. 3.1 - For Exercises 41-52, a one-to-one function is...Ch. 3.1 - For Exercises 41-52, a one-to-one function is...Ch. 3.1 - For Exercises 41-52, a one-to-one function is...Ch. 3.1 - a. Graph fx=x23;x0. (See Example 7) b. From the...Ch. 3.1 - a. Graph fx=x2+1;x0. b. From the graph of f , is f...Ch. 3.1 - a. Graph fx=x+1. (See Example 8) b. From the graph...Ch. 3.1 - a. Graph fx=x2. b. From the graph of f , is f a...Ch. 3.1 - Given that the domain of a one-to-one function f...Ch. 3.1 - Given that the domain of a one-to-one function f...Ch. 3.1 - Given fx=x+3;x0, write an equation for f1 .Ch. 3.1 - Given fx=x3;x0, write an equation for f1 .Ch. 3.1 - For Exercises 61-66, fill in the blanks and...Ch. 3.1 - For Exercises 61-66, fill in the blanks and...Ch. 3.1 - For Exercises 61-66, fill in the blanks and...Ch. 3.1 - For Exercises 61-66, fill in the blanks and...Ch. 3.1 - For Exercises 61-66, fill in the blanks and...Ch. 3.1 - For Exercises 61-66, fill in the blanks and...Ch. 3.1 - For Exercises 67-70, find the inverse mentally....Ch. 3.1 - For Exercises 67-70, find the inverse mentally....Ch. 3.1 - For Exercises 67-70, find the inverse mentally....Ch. 3.1 - For Exercises 67-70, find the inverse mentally....Ch. 3.1 - For Exercises 71-74, the graph of a function is...Ch. 3.1 - For Exercises 71-74, the graph of a function is...Ch. 3.1 - For Exercises 71-74, the graph of a function is...Ch. 3.1 - Prob. 74PECh. 3.1 - For Exercises 75-76, the table defines Y1=fx as a...Ch. 3.1 - For Exercises 75-76, the table defines Y1=fx as a...Ch. 3.1 - For Exercises 77-80, determine if the statement is...Ch. 3.1 - For Exercises 77-80, determine if the statement is...Ch. 3.1 - For Exercises 77-80, determine if the statement is...Ch. 3.1 - For Exercises 77-80, determine if the statement is...Ch. 3.1 - Based on data from Hurricane Katrina, the function...Ch. 3.1 - The function defined by Fx=95x+32 gives the...Ch. 3.1 - Suppose that during normal respiration, the volume...Ch. 3.1 - At a cruising altitude of 35,000 ft, a certain...Ch. 3.1 - The millage rate is the amount of property tax per...Ch. 3.1 - Beginning on January 1, park rangers in Everglades...Ch. 3.1 - Prob. 87PECh. 3.1 - Prob. 88PECh. 3.1 - Explain why if a horizontal line intersects the...Ch. 3.1 - Prob. 90PECh. 3.1 - Prob. 91PECh. 3.1 - Consider a function defined as follows: Given x,...Ch. 3.1 - Prob. 93PECh. 3.1 - A function is said to be periodic if there exists...Ch. 3.2 - Graph the functions. a.fx=5xb.gx=15xCh. 3.2 - Graph. gx=2x+21Ch. 3.2 - Explain how the graph of fx=ex1 is related to the...Ch. 3.2 - Suppose that $8000 is invested and pays 4.5% per...Ch. 3.2 - Cesium-137 is a radioactive metal with a short...Ch. 3.2 - The function defined by y=x3 (is/is not) an...Ch. 3.2 - The graph of fx=53x is (increasing/decreasing)...Ch. 3.2 - The graph of fx=35x is (increasing/decreasing)...Ch. 3.2 - The domain of an exponential function fx=bxis.Ch. 3.2 - The range of an exponential function fx=bxis.Ch. 3.2 - All exponential functions fx=bx pass through the...Ch. 3.2 - The horizontal asymptote of an exponential...Ch. 3.2 - As x, the value of 1+1xx approaches .Ch. 3.2 - For Exercises 9-12, evaluate the functions the...Ch. 3.2 - For Exercises 9-12, evaluate the functions the...Ch. 3.2 - For Exercises 9-12, evaluate the functions the...Ch. 3.2 - For Exercises 9-12, evaluate the functions the...Ch. 3.2 - Which function are exponential functions?...Ch. 3.2 - Which function are exponential functions?...Ch. 3.2 - For Exercises 15-22, graph the functions and write...Ch. 3.2 - For Exercises 15-22, graph the functions and write...Ch. 3.2 - For Exercises 15-22, graph the functions and write...Ch. 3.2 - For Exercises 15-22, graph the functions and write...Ch. 3.2 - For Exercises 15-22, graph the functions and write...Ch. 3.2 - For Exercises 15-22, graph the functions and write...Ch. 3.2 - For Exercises 15-22, graph the functions and write...Ch. 3.2 - For Exercises 15-22, graph the functions and write...Ch. 3.2 - For Exercises 23-32, a. Use transformations of the...Ch. 3.2 - For Exercises 23-32, a. Use transformations of the...Ch. 3.2 - For Exercises 23-32, a. Use transformations of the...Ch. 3.2 - Prob. 26PECh. 3.2 - For Exercises 23-32, a. Use transformations of the...Ch. 3.2 - For Exercises 23-32, a. Use transformations of the...Ch. 3.2 - For Exercises 23-32, a. Use transformations of the...Ch. 3.2 - For Exercises 23-32, a. Use transformations of the...Ch. 3.2 - For Exercises 23-32, a. Use transformations of the...Ch. 3.2 - For Exercises 23-32, a. Use transformations of the...Ch. 3.2 - For Exercises 33-36, a. Use transformations of the...Ch. 3.2 - For Exercises 33-36, a. Use transformations of the...Ch. 3.2 - Prob. 35PECh. 3.2 - Prob. 36PECh. 3.2 - For Exercises 37-38, evaluate the functions for...Ch. 3.2 - Prob. 38PECh. 3.2 - Prob. 39PECh. 3.2 - For Exercises 39-44, a. Use transformations of the...Ch. 3.2 - For Exercises 39-44, a. Use transformations of the...Ch. 3.2 - Prob. 42PECh. 3.2 - For Exercises 39-44, a. Use transformations of the...Ch. 3.2 - For Exercises 39-44, a. Use transformations of the...Ch. 3.2 - For Exercises 45-46, complete the table to...Ch. 3.2 - For Exercises 45-46, complete the table to...Ch. 3.2 - Prob. 47PECh. 3.2 - For Exercises 47-48, suppose that P dollars in...Ch. 3.2 - Prob. 49PECh. 3.2 - Al needs to borrow $15,000 to buy a car. He can...Ch. 3.2 - Jerome wants to invest $25,000 as part of his...Ch. 3.2 - Heather wants to invest $35,000 of her retirement....Ch. 3.2 - Strontium-90 90Sr is a by-product of nuclear...Ch. 3.2 - In 2006, the murder of Alexander Litvinenko a...Ch. 3.2 - According to the CIA’s World Fact Book in 2010,...Ch. 3.2 - The population of Canada in 2010 was approximately...Ch. 3.2 - The atmospheric pressure on an object decreases as...Ch. 3.2 - The function defined by At=100e0.0318t...Ch. 3.2 - Newton's law of cooling Indicates that the...Ch. 3.2 - Newton's law of cooling Indicates that the...Ch. 3.2 - A farmer depreciates a $120,000 tractor. He...Ch. 3.2 - A veterinarian depreciates a $10,000 X-ray...Ch. 3.2 - For Exercises 63-64, solve the equation in parts...Ch. 3.2 - For Exercises 63-64, solve the equation in parts...Ch. 3.2 - a. Graph fx=2x. (See Example 1) b. Is f a...Ch. 3.2 - Prob. 66PECh. 3.2 - Refer to the graphs of fx=2x and the inverse...Ch. 3.2 - Refer to the graphs of gx=3x and the inverse...Ch. 3.2 - Explain why the equation 2x=2 has no solution.Ch. 3.2 - Explain why the fx=x2 is not an exponential...Ch. 3.2 - For Exercises 71-72, find the real solutions to...Ch. 3.2 - For Exercises 71-72, find the real solutions to...Ch. 3.2 - Use the properties of exponents to simplify....Ch. 3.2 - Factor. a.ex+hexb.e4xe2xCh. 3.2 - Multiply. ex+ex2Ch. 3.2 - Multiply. exex2Ch. 3.2 - Show that ex+ex22exex22=1.Ch. 3.2 - Prob. 78PECh. 3.2 - Prob. 79PECh. 3.2 - For Exercises 79-80, find the difference quotient...Ch. 3.2 - Graph the following functions on the window...Ch. 3.3 - Write each equation in exponential form....Ch. 3.3 - Write each equation in logarithmic form....Ch. 3.3 - Evaluate each expression....Ch. 3.3 - Evaluate. a.log10,000,000b.log0.1c.lne5d.lneCh. 3.3 - Approximate the logarithms. Round to 4 decimal...Ch. 3.3 - Simplify....Ch. 3.3 - Graph the functions. a.y=log4xb.y=log1/2xCh. 3.3 - Graph the function. Identify the vertical...Ch. 3.3 - Write the domain in interval notation....Ch. 3.3 - a. Determine the magnitude of an earthquake that...Ch. 3.3 - Given positive real numbers x and b such that...Ch. 3.3 - Given y=logbx, the value y is called the , b is...Ch. 3.3 - The logarithmic function base 10 is called the ...Ch. 3.3 - Given y=logx, the base is understood to be . Given...Ch. 3.3 - logb1= because b=1.Ch. 3.3 - logbb= because b=b.Ch. 3.3 - f(x)=logbxandg(x)=bx are inverse functions...Ch. 3.3 - The graph of y=logbx passes through the point (1,...Ch. 3.3 - For Exercises 9-16, write the equation in...Ch. 3.3 - For Exercises 9-16, write the equation in...Ch. 3.3 - For Exercises 9-16, write the equation in...Ch. 3.3 - For Exercises 9-16, write the equation in...Ch. 3.3 - For Exercises 9-16, write the equation in...Ch. 3.3 - For Exercises 9-16, write the equation in...Ch. 3.3 - Prob. 15PECh. 3.3 - Prob. 16PECh. 3.3 - Prob. 17PECh. 3.3 - For Exercises 17-24, write the equation in...Ch. 3.3 - Prob. 19PECh. 3.3 - For Exercises 17-24, write the equation in...Ch. 3.3 - Prob. 21PECh. 3.3 - For Exercises 17-24, write the equation in...Ch. 3.3 - Prob. 23PECh. 3.3 - For Exercises 17-24, write the equation in...Ch. 3.3 - Prob. 25PECh. 3.3 - For Exercises 25-50, simplify the expression...Ch. 3.3 - Prob. 27PECh. 3.3 - Prob. 28PECh. 3.3 - Prob. 29PECh. 3.3 - For Exercises 25-50, simplify the expression...Ch. 3.3 - Prob. 31PECh. 3.3 - For Exercises 25-50, simplify the expression...Ch. 3.3 - Prob. 33PECh. 3.3 - For Exercises 25-50, simplify the expression...Ch. 3.3 - Prob. 35PECh. 3.3 - For Exercises 25-50, simplify the expression...Ch. 3.3 - Prob. 37PECh. 3.3 - For Exercises 25-50, simplify the expression...Ch. 3.3 - Prob. 39PECh. 3.3 - For Exercises 25-50, simplify the expression...Ch. 3.3 - Prob. 41PECh. 3.3 - For Exercises 25-50, simplify the expression...Ch. 3.3 - For Exercises 25-50, simplify the expression...Ch. 3.3 - For Exercises 25-50, simplify the expression...Ch. 3.3 - Prob. 45PECh. 3.3 - For Exercises 25-50, simplify the expression...Ch. 3.3 - For Exercises 25-50, simplify the expression...Ch. 3.3 - Prob. 48PECh. 3.3 - Prob. 49PECh. 3.3 - Prob. 50PECh. 3.3 - For Exercises 51-52, estimate the value of each...Ch. 3.3 - For Exercises 51-52, estimate the value of each...Ch. 3.3 - Prob. 53PECh. 3.3 - For Exercises 53-54, approximate fx=lnx for the...Ch. 3.3 - For Exercises 55-64, simplify the expression...Ch. 3.3 - For Exercises 55-64, simplify the expression...Ch. 3.3 - For Exercises 55-64, simplify the expression...Ch. 3.3 - For Exercises 55-64, simplify the expression...Ch. 3.3 - Prob. 59PECh. 3.3 - For Exercises 55-64, simplify the expression...Ch. 3.3 - For Exercises 55-64, simplify the expression...Ch. 3.3 - For Exercises 55-64, simplify the expression...Ch. 3.3 - For Exercises 55-64, simplify the expression...Ch. 3.3 - For Exercises 55-64, simplify the expression...Ch. 3.3 - For Exercises 65-70, graph the function. (See...Ch. 3.3 - For Exercises 65-70, graph the function. (See...Ch. 3.3 - Prob. 67PECh. 3.3 - Prob. 68PECh. 3.3 - Prob. 69PECh. 3.3 - Prob. 70PECh. 3.3 - Prob. 71PECh. 3.3 - Prob. 72PECh. 3.3 - Prob. 73PECh. 3.3 - Prob. 74PECh. 3.3 - Prob. 75PECh. 3.3 - For Exercises 71-78, (See Example 8) a. Use...Ch. 3.3 - Prob. 77PECh. 3.3 - Prob. 78PECh. 3.3 - Prob. 79PECh. 3.3 - For Exercises 79-92, write the domain in interval...Ch. 3.3 - For Exercises 79-92, write the domain in interval...Ch. 3.3 - For Exercises 79-92, write the domain in interval...Ch. 3.3 - Prob. 83PECh. 3.3 - Prob. 84PECh. 3.3 - Prob. 85PECh. 3.3 - Prob. 86PECh. 3.3 - For Exercises 79-92, write the domain in interval...Ch. 3.3 - For Exercises 79-92, write the domain in interval...Ch. 3.3 - Prob. 89PECh. 3.3 - For Exercises 79-92, write the domain in interval...Ch. 3.3 - Prob. 91PECh. 3.3 - Prob. 92PECh. 3.3 - Prob. 93PECh. 3.3 - The intensities of earthquakes are measured with...Ch. 3.3 - Sounds are produced when vibrating objects create...Ch. 3.3 - Sounds are produced when vibrating objects create...Ch. 3.3 - Scientists use the pH scale to represent the level...Ch. 3.3 - Scientists use the pH scale to represent the level...Ch. 3.3 - Prob. 99PECh. 3.3 - For Exercises 99-102, a. Write the equation in...Ch. 3.3 - For Exercises 99-102, a. Write the equation in...Ch. 3.3 - For Exercises 99-102, a. Write the equation in...Ch. 3.3 - For Exercises 103-106, evaluate the expressions....Ch. 3.3 - For Exercises 103-106, evaluate the expressions....Ch. 3.3 - For Exercises 103-106, evaluate the expressions....Ch. 3.3 - For Exercises 103-106, evaluate the expressions....Ch. 3.3 - a. Evaluate log22+log24 b. Evaluate log224 c. How...Ch. 3.3 - a. Evaluate log33+log327 b. Evaluate log3327 c....Ch. 3.3 - a. Evaluate log464log44 b. Evaluate log4644 c. How...Ch. 3.3 - a. Evaluate log100,000log100 b. Evaluate...Ch. 3.3 - a. Evaluate log225 b. Evaluate 5log22 c. How do...Ch. 3.3 - a. Evaluate log776 b. Evaluate 6log77 c. How do...Ch. 3.3 - a. The time t (in years) required for an...Ch. 3.3 - a. The number n of monthly payments of P dollars...Ch. 3.3 - For Exercises 115-116, use a calculator to...Ch. 3.3 - For Exercises 115-116, use a calculator to...Ch. 3.3 - Prob. 117PECh. 3.3 - Prob. 118PECh. 3.3 - Prob. 119PECh. 3.3 - Prob. 120PECh. 3.3 - Prob. 121PECh. 3.3 - Prob. 122PECh. 3.3 - Prob. 123PECh. 3.3 - Prob. 124PECh. 3.3 - Prob. 125PECh. 3.3 - Prob. 126PECh. 3.3 - Prob. 1PRECh. 3.3 - For Exercises 1-14, a. Write the domain. b. Write...Ch. 3.3 - For Exercises 1-14, a. Write the domain. b. Write...Ch. 3.3 - For Exercises 1-14, a. Write the domain. b. Write...Ch. 3.3 - For Exercises 1-14, a. Write the domain. b. Write...Ch. 3.3 - For Exercises 1-14, a. Write the domain. b. Write...Ch. 3.3 - For Exercises 1-14, a. Write the domain. b. Write...Ch. 3.3 - For Exercises 1-14, a. Write the domain. b. Write...Ch. 3.3 - For Exercises 1-14, a. Write the domain. b. Write...Ch. 3.3 - For Exercises 1-14, a. Write the domain. b. Write...Ch. 3.3 - For Exercises 1-14, a. Write the domain. b. Write...Ch. 3.3 - For Exercises 1-14, a. Write the domain. b. Write...Ch. 3.3 - For Exercises 1-14, a. Write the domain. b. Write...Ch. 3.3 - For Exercises 1-14, a. Write the domain. b. Write...Ch. 3.4 - Write the logarithm as a sum and simplify if...Ch. 3.4 - Write the logarithm as the difference of...Ch. 3.4 - Apply the power property of logarithms....Ch. 3.4 - Write the expression as the sum or difference of...Ch. 3.4 - Write the expression as a single logarithm and...Ch. 3.4 - Write the expression as a single logarithm and...Ch. 3.4 - Given that logb20.356andlogb30.565, approximate...Ch. 3.4 - a. Estimate log623 between two consecutive...Ch. 3.4 - The product property of logarithms states that...Ch. 3.4 - The property of logarithms states that logbxy=...Ch. 3.4 - The power property of logarithms states that for...Ch. 3.4 - The change-of-base formula states that logbx can...Ch. 3.4 - The change-of-base formula is often used to...Ch. 3.4 - To use a graphing utility to graph the function...Ch. 3.4 - Prob. 7PECh. 3.4 - For Exercises 7-12, use the product property of...Ch. 3.4 - For Exercises 7-12, use the product property of...Ch. 3.4 - For Exercises 7-12, use the product property of...Ch. 3.4 - For Exercises 7-12, use the product property of...Ch. 3.4 - For Exercises 7-12, use the product property of...Ch. 3.4 - For Exercises 13-18, use the quotient property of...Ch. 3.4 - For Exercises 13-18, use the quotient property of...Ch. 3.4 - For Exercises 13-18, use the quotient property of...Ch. 3.4 - For Exercises 13-18, use the quotient property of...Ch. 3.4 - For Exercises 13-18, use the quotient property of...Ch. 3.4 - For Exercises 13-18, use the quotient property of...Ch. 3.4 - Prob. 19PECh. 3.4 - For Exercises 19-24, apply the power property of...Ch. 3.4 - Prob. 21PECh. 3.4 - For Exercises 19-24, apply the power property of...Ch. 3.4 - Prob. 23PECh. 3.4 - For Exercises 19-24, apply the power property of...Ch. 3.4 - For Exercises 25-44, write the logarithm as a sum...Ch. 3.4 - For Exercises 25-44, write the logarithm as a sum...Ch. 3.4 - For Exercises 25-44, write the logarithm as a sum...Ch. 3.4 - Prob. 28PECh. 3.4 - For Exercises 25-44, write the logarithm as a sum...Ch. 3.4 - Prob. 30PECh. 3.4 - For Exercises 25-44, write the logarithm as a sum...Ch. 3.4 - For Exercises 25-44, write the logarithm as a sum...Ch. 3.4 - For Exercises 25-44, write the logarithm as a sum...Ch. 3.4 - For Exercises 25-44, write the logarithm as a sum...Ch. 3.4 - For Exercises 25-44, write the logarithm as a sum...Ch. 3.4 - Prob. 36PECh. 3.4 - For Exercises 25-44, write the logarithm as a sum...Ch. 3.4 - For Exercises 25-44, write the logarithm as a sum...Ch. 3.4 - For Exercises 25-44, write the logarithm as a sum...Ch. 3.4 - For Exercises 25-44, write the logarithm as a sum...Ch. 3.4 - For Exercises 25-44, write the logarithm as a sum...Ch. 3.4 - For Exercises 25-44, write the logarithm as a sum...Ch. 3.4 - For Exercises 25-44, write the logarithm as a sum...Ch. 3.4 - Prob. 44PECh. 3.4 - For Exercises 45-68, write the logarithmic...Ch. 3.4 - Prob. 46PECh. 3.4 - For Exercises 45-68, write the logarithmic...Ch. 3.4 - For Exercises 45-68, write the logarithmic...Ch. 3.4 - For Exercises 45-68, write the logarithmic...Ch. 3.4 - For Exercises 45-68, write the logarithmic...Ch. 3.4 - For Exercises 45-68, write the logarithmic...Ch. 3.4 - For Exercises 45-68, write the logarithmic...Ch. 3.4 - For Exercises 45-68, write the logarithmic...Ch. 3.4 - For Exercises 45-68, write the logarithmic...Ch. 3.4 - For Exercises 45-68, write the logarithmic...Ch. 3.4 - For Exercises 45-68, write the logarithmic...Ch. 3.4 - For Exercises 45-68, write the logarithmic...Ch. 3.4 - For Exercises 45-68, write the logarithmic...Ch. 3.4 - For Exercises 45-68, write the logarithmic...Ch. 3.4 - For Exercises 45-68, write the logarithmic...Ch. 3.4 - For Exercises 45-68, write the logarithmic...Ch. 3.4 - For Exercises 45-68, write the logarithmic...Ch. 3.4 - For Exercises 45-68, write the logarithmic...Ch. 3.4 - For Exercises 45-68, write the logarithmic...Ch. 3.4 - For Exercises 45-68, write the logarithmic...Ch. 3.4 - Prob. 66PECh. 3.4 - For Exercises 45-68, write the logarithmic...Ch. 3.4 - Prob. 68PECh. 3.4 - Prob. 69PECh. 3.4 - Prob. 70PECh. 3.4 - Prob. 71PECh. 3.4 - For Exercises 69-78, use...Ch. 3.4 - Prob. 73PECh. 3.4 - For Exercises 69-78, use...Ch. 3.4 - For Exercises 69-78, use...Ch. 3.4 - Prob. 76PECh. 3.4 - For Exercises 69-78, use...Ch. 3.4 - For Exercises 69-78, use...Ch. 3.4 - For Exercises 79-84, (See Example 8) a. Estimate...Ch. 3.4 - For Exercises 79-84, (See Example 8) a. Estimate...Ch. 3.4 - For Exercises 79-84, (See Example 8) a. Estimate...Ch. 3.4 - For Exercises 79-84, (See Example 8) a. Estimate...Ch. 3.4 - For Exercises 79-84, (See Example 8) a. Estimate...Ch. 3.4 - For Exercises 79-84, (See Example 8) a. Estimate...Ch. 3.4 - For Exercises 85-88, use the change-of-base...Ch. 3.4 - For Exercises 85-88, use the change-of-base...Ch. 3.4 - For Exercises 85-88, use the change-of-base...Ch. 3.4 - For Exercises 85-88, use the change-of-base...Ch. 3.4 - For Exercises 89-98, determine if the statement is...Ch. 3.4 - For Exercises 89-98, determine if the statement is...Ch. 3.4 - For Exercises 89-98, determine if the statement is...Ch. 3.4 - For Exercises 89-98, determine if the statement is...Ch. 3.4 - For Exercises 89-98, determine if the statement is...Ch. 3.4 - For Exercises 89-98, determine if the statement is...Ch. 3.4 - For Exercises 89-98, determine if the statement is...Ch. 3.4 - For Exercises 89-98, determine if the statement is...Ch. 3.4 - For Exercises 89-98, determine if the statement is...Ch. 3.4 - For Exercises 89-98, determine if the statement is...Ch. 3.4 - Explain why the product property of logarithms...Ch. 3.4 - Explain how to use the change-of-base formula and...Ch. 3.4 - a. Write the difference quotient for fx=lnx. b....Ch. 3.4 - Show that lnxx21=lnx+x21Ch. 3.4 - Show that logb+b24ac2a+logbb24ac2a=logclogaCh. 3.4 - Show that lnc+c2x2cc2x2=2lnc+c2x22lnxCh. 3.4 - Use the change-of-base formula to write log25log59...Ch. 3.4 - Use the change-of-base formula to write...Ch. 3.4 - Prove the quotient property of logarithms:...Ch. 3.4 - Prove the power property of logarithms:...Ch. 3.4 - For Exercises 109-112, graph the function....Ch. 3.4 - For Exercises 109-112, graph the function....Ch. 3.4 - For Exercises 109-112, graph the function....Ch. 3.4 - For Exercises 109-112, graph the function....Ch. 3.4 - a. Graph Y1=logxandY2=12logx2. How are the graphs...Ch. 3.4 - Graph Y1=ln0.1x,Y2=ln0.5x,Y3=lnx,andY4=ln2x. How...Ch. 3.5 - Solve. a.42x3=64b.272w+5=1325wCh. 3.5 - Solve. 5x=83Ch. 3.5 - Solve. a.400+104x1=63,000b.100=700e0.2kCh. 3.5 - Solve. 35x6=24x+1Ch. 3.5 - Solve. e2x5ex14=0Ch. 3.5 - Solve. log27x4=log22x+1Ch. 3.5 - Solve. lnx+lnx8=lnx20Ch. 3.5 - Solve. 8log4w+6=24Ch. 3.5 - Solve. logt18=1.4Ch. 3.5 - Solve. 2log7x=log7x48Ch. 3.5 - Determine how long it will take $8000 compounded...Ch. 3.5 - a. Find the intensity of sound form a leaf blower...Ch. 3.5 - An equation such as 4x=9 is called an equation...Ch. 3.5 - Prob. 2PECh. 3.5 - The equivalence property of logarithmic...Ch. 3.5 - An equation containing a variable within a...Ch. 3.5 - For Exercises 5-16, solve the equation. (See...Ch. 3.5 - For Exercises 5-16, solve the equation. (See...Ch. 3.5 - For Exercises 5-16, solve the equation. (See...Ch. 3.5 - For Exercises 5-16, solve the equation. (See...Ch. 3.5 - For Exercises 5-16, solve the equation. (See...Ch. 3.5 - For Exercises 5-16, solve the equation. 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Write the...Ch. 3.5 - For Exercises 37-60, solve the equation. Write the...Ch. 3.5 - For Exercises 37-60, solve the equation. Write the...Ch. 3.5 - For Exercises 37-60, solve the equation. Write the...Ch. 3.5 - For Exercises 37-60, solve the equation. Write the...Ch. 3.5 - For Exercises 61-70, use the model...Ch. 3.5 - For Exercises 61-70, use the model...Ch. 3.5 - For Exercises 61-70, use the model...Ch. 3.5 - For Exercises 61-70, use the model...Ch. 3.5 - For Exercises 61-70, use the model...Ch. 3.5 - For Exercises 61-70, use the model...Ch. 3.5 - For Exercises 61-70, use the model...Ch. 3.5 - For Exercises 61-70, use the model...Ch. 3.5 - For Exercises 61-70, use the model...Ch. 3.5 - For Exercises 61-70, use the model...Ch. 3.5 - Physicians often treat thyroid cancer with a...Ch. 3.5 - Caffeine occurs naturally in a variety of food...Ch. 3.5 - Sunlight is absorbed in water, and as a result the...Ch. 3.5 - Sunlight is absorbed in water, and as a result the...Ch. 3.5 - Sunlight is absorbed in water, and as a result the...Ch. 3.5 - Sunlight is absorbed in water, and as a result the...Ch. 3.5 - Forge welding is a process in which two pieces of...Ch. 3.5 - A pie comes out of the oven at 325oF and is placed...Ch. 3.5 - Prob. 79PECh. 3.5 - For Exercises 79-80, the formula L=10logII0 gives...Ch. 3.5 - Prob. 81PECh. 3.5 - Prob. 82PECh. 3.5 - A new teaching method to teach vocabulary to...Ch. 3.5 - Prob. 84PECh. 3.5 - Radiated seismic energy from an earthquake is...Ch. 3.5 - On August 31, 1854, an epidemic of cholera was...Ch. 3.5 - For Exercises 87-94, find an equation for the...Ch. 3.5 - For Exercises 87-94, find an equation for the...Ch. 3.5 - For Exercises 87-94, find an equation for the...Ch. 3.5 - For Exercises 87-94, find an equation for the...Ch. 3.5 - For Exercises 87-94, find an equation for the...Ch. 3.5 - For Exercises 87-94, find an equation for the...Ch. 3.5 - For Exercises 87-94, find an equation for the...Ch. 3.5 - For Exercises 87-94, find an equation for the...Ch. 3.5 - For Exercises 95-112, solve the equation. Write...Ch. 3.5 - For Exercises 95-112, solve the equation. Write...Ch. 3.5 - For Exercises 95-112, solve the equation. Write...Ch. 3.5 - For Exercises 95-112, solve the equation. Write...Ch. 3.5 - For Exercises 95-112, solve the equation. Write...Ch. 3.5 - For Exercises 95-112, solve the equation. Write...Ch. 3.5 - For Exercises 95-112, solve the equation. Write...Ch. 3.5 - For Exercises 95-112, solve the equation. Write...Ch. 3.5 - For Exercises 95-112, solve the equation. Write...Ch. 3.5 - Prob. 104PECh. 3.5 - For Exercises 95-112, solve the equation. Write...Ch. 3.5 - For Exercises 95-112, solve the equation. Write...Ch. 3.5 - For Exercises 95-112, solve the equation. Write...Ch. 3.5 - For Exercises 95-112, solve the equation. Write...Ch. 3.5 - For Exercises 95-112, solve the equation. Write...Ch. 3.5 - For Exercises 95-112, solve the equation. Write...Ch. 3.5 - For Exercises 95-112, solve the equation. Write...Ch. 3.5 - For Exercises 95-112, solve the equation. Write...Ch. 3.5 - Explain the process to solve the equation 4x=11.Ch. 3.5 - Prob. 114PECh. 3.5 - Prob. 115PECh. 3.5 - For Exercises 115-126, solve the equation....Ch. 3.5 - For Exercises 115-126, solve the equation....Ch. 3.5 - Prob. 118PECh. 3.5 - For Exercises 115-126, solve the equation....Ch. 3.5 - For Exercises 115-126, solve the equation....Ch. 3.5 - For Exercises 115-126, solve the equation....Ch. 3.5 - For Exercises 115-126, solve the equation....Ch. 3.5 - For Exercises 115-126, solve the equation....Ch. 3.5 - For Exercises 115-126, solve the equation....Ch. 3.5 - For Exercises 115-126, solve the equation....Ch. 3.5 - For Exercises 115-126, solve the equation....Ch. 3.5 - For Exercises 127-130, an equation is given in the...Ch. 3.5 - For Exercises 127-130, an equation is given in the...Ch. 3.5 - For Exercises 127-130, an equation is given in the...Ch. 3.5 - For Exercises 127-130, an equation is given in the...Ch. 3.6 - a. Given T=78+272ekt,solvefork. b. Given...Ch. 3.6 - Suppose that $10,000 is invested and at the end of...Ch. 3.6 - On January 1, 2000, the population of Texas was...Ch. 3.6 - a. Given Pt=10,00020.4t, write the rule for this...Ch. 3.6 - Use the function Qt=Q0e0.000121t to determine the...Ch. 3.6 - The score on a test of dexterity is by...Ch. 3.6 - For the given data, a. Graph the data points. b....Ch. 3.6 - For the given data, a. Graph the data points. b....Ch. 3.6 - If k0, the equation y=y0ekt is a model for...Ch. 3.6 - A function defined by y=abx can be written in...Ch. 3.6 - A function defined by y=c1+aebt is called a ...Ch. 3.6 - Given a logistic function y=c1+aebt , the limiting...Ch. 3.6 - For Exercises 5-14, solve for the indicated...Ch. 3.6 - For Exercises 5-14, solve for the indicated...Ch. 3.6 - For Exercises 5-14, solve for the indicated...Ch. 3.6 - For Exercises 5-14, solve for the indicated...Ch. 3.6 - For Exercises 5-14, solve for the indicated...Ch. 3.6 - For Exercises 5-14, solve for the indicated...Ch. 3.6 - For Exercises 5-14, solve for the indicated...Ch. 3.6 - For Exercises 5-14, solve for the indicated...Ch. 3.6 - For Exercises 5-14, solve for the indicated...Ch. 3.6 - Prob. 14PECh. 3.6 - Suppose that $12,000 is invested in a bond fund...Ch. 3.6 - Suppose that $50,000 from a retirement account is...Ch. 3.6 - Suppose that P dollars in principal is invested in...Ch. 3.6 - Suppose that P dollars in principal is invested in...Ch. 3.6 - The populations of two countries are given for...Ch. 3.6 - The populations of two countries are given for...Ch. 3.6 - A function of the form Pt=abt represents the...Ch. 3.6 - A function of the form Pt=abt represents the...Ch. 3.6 - Prob. 23PECh. 3.6 - For Exercises 23-24, refer to the model...Ch. 3.6 - The isotope of plutonium 238Pu is used to make...Ch. 3.6 - Technetium-99 99mTc is a radionuclide used widely...Ch. 3.6 - Fluorodeoxyglucose is a derivative of glucose that...Ch. 3.6 - Painful bone metastases are common in advanced...Ch. 3.6 - Two million E. coli bacteria are present in a...Ch. 3.6 - The half-life of radium-226 is 1620 yr. Given a...Ch. 3.6 - The population of the United States Pt (in...Ch. 3.6 - The population of Canada Pt (in millions) since...Ch. 3.6 - The number of computers Nt (in millions) infected...Ch. 3.6 - After a new product is launched the cumulative...Ch. 3.6 - For Exercises 35-38, a graph of data is given....Ch. 3.6 - For Exercises 35-38, a graph of data is given....Ch. 3.6 - For Exercises 35-38, a graph of data is given....Ch. 3.6 - For Exercises 35-38, a graph of data is given....Ch. 3.6 - For Exercises 39-46, a table of data is given. a....Ch. 3.6 - For Exercises 39-46, a table of data is given. a....Ch. 3.6 - For Exercises 39-46, a table of data is given. a....Ch. 3.6 - For Exercises 39-46, a table of data is given. a....Ch. 3.6 - For Exercises 39-46, a table of data is given. a....Ch. 3.6 - For Exercises 39-46, a table of data is given. a....Ch. 3.6 - For Exercises 39-46, a table of data is given. a....Ch. 3.6 - For Exercises 39-46, a table of data is given. a....Ch. 3.6 - During a recent outbreak of Ebola in western...Ch. 3.6 - The monthly costs for a small company to do...Ch. 3.6 - The age of a tree t (in yr) and its corresponding...Ch. 3.6 - The sales of a book tend to increase over the...Ch. 3.6 - A van is purchased new for $29,200. a. Write a...Ch. 3.6 - A delivery truck is purchased new for $54,000 . a....Ch. 3.6 - Why is it important to graph a set of data before...Ch. 3.6 - Prob. 54PECh. 3.6 - Prob. 55PECh. 3.6 - Explain how to convert an exponential expression...Ch. 3.6 - Prob. 57PECh. 3.6 - Suppose that a population follows a logistic...Ch. 3 - For Exercises 1-2, determine if the relation...Ch. 3 - For Exercises 1-2, determine if the relation...Ch. 3 - Prob. 3RECh. 3 - Prob. 4RECh. 3 - Prob. 5RECh. 3 - Prob. 6RECh. 3 - Prob. 7RECh. 3 - Prob. 8RECh. 3 - a. Graph fx=x29,x0. b. Is f a one-to-one function?...Ch. 3 - Prob. 10RECh. 3 - Prob. 11RECh. 3 - Prob. 12RECh. 3 - Prob. 13RECh. 3 - For Exercises 13-16, a. Graph the function. b....Ch. 3 - Prob. 15RECh. 3 - Prob. 16RECh. 3 - Prob. 17RECh. 3 - Prob. 18RECh. 3 - Prob. 19RECh. 3 - A patient is treated with 128 mCi (millicuries) of...Ch. 3 - Prob. 21RECh. 3 - Prob. 22RECh. 3 - Prob. 23RECh. 3 - Prob. 24RECh. 3 - For Exercises 25-32, simplify the logarithmic...Ch. 3 - For Exercises 25-32, simplify the logarithmic...Ch. 3 - For Exercises 25-32, simplify the logarithmic...Ch. 3 - Prob. 28RECh. 3 - Prob. 29RECh. 3 - Prob. 30RECh. 3 - Prob. 31RECh. 3 - Prob. 32RECh. 3 - Prob. 33RECh. 3 - Prob. 34RECh. 3 - Prob. 35RECh. 3 - Prob. 36RECh. 3 - Prob. 37RECh. 3 - Prob. 38RECh. 3 - Prob. 39RECh. 3 - Prob. 40RECh. 3 - Prob. 41RECh. 3 - Prob. 42RECh. 3 - Prob. 43RECh. 3 - Prob. 44RECh. 3 - Prob. 45RECh. 3 - Prob. 46RECh. 3 - Prob. 47RECh. 3 - Prob. 48RECh. 3 - For Exercises 49-52, write the logarithm as a sum...Ch. 3 - Prob. 50RECh. 3 - For Exercises 49-52, write the logarithm as a sum...Ch. 3 - Prob. 52RECh. 3 - For Exercises 53-55, write the logarithmic...Ch. 3 - For Exercises 53-55, write the logarithmic...Ch. 3 - Prob. 55RECh. 3 - Prob. 56RECh. 3 - For Exercises 56-58, use...Ch. 3 - For Exercises 56-58, use...Ch. 3 - Prob. 59RECh. 3 - Prob. 60RECh. 3 - Prob. 61RECh. 3 - For Exercises 61-80, solve the equation. Write the...Ch. 3 - For Exercises 61-80, solve the equation. Write the...Ch. 3 - For Exercises 61-80, solve the equation. Write the...Ch. 3 - For Exercises 61-80, solve the equation. Write the...Ch. 3 - For Exercises 61-80, solve the equation. Write the...Ch. 3 - For Exercises 61-80, solve the equation. Write the...Ch. 3 - Prob. 68RECh. 3 - Prob. 69RECh. 3 - Prob. 70RECh. 3 - Prob. 71RECh. 3 - Prob. 72RECh. 3 - Prob. 73RECh. 3 - Prob. 74RECh. 3 - Prob. 75RECh. 3 - Prob. 76RECh. 3 - Prob. 77RECh. 3 - Prob. 78RECh. 3 - Prob. 79RECh. 3 - Prob. 80RECh. 3 - Prob. 81RECh. 3 - Prob. 82RECh. 3 - The percentage of visible light P (in decimal...Ch. 3 - For Exercises 84-85, solve for the indicated...Ch. 3 - For Exercises 84-85, solve for the indicated...Ch. 3 - Prob. 86RECh. 3 - Prob. 87RECh. 3 - Prob. 88RECh. 3 - Prob. 89RECh. 3 - Prob. 90RECh. 3 - Prob. 91RECh. 3 - Given fx=4x31, a. Write an equation for f1x. b....Ch. 3 - Prob. 2TCh. 3 - Prob. 3TCh. 3 - For Exercises 4-7, a. Write the domain and range...Ch. 3 - Prob. 5TCh. 3 - For Exercises 4-7, a. Write the domain and range...Ch. 3 - For Exercises 4-7, a. Write the domain and range...Ch. 3 - For Exercises 8-11, a. Graph the function. b....Ch. 3 - For Exercises 8-11, a. Graph the function. b....Ch. 3 - For Exercises 8-11, a. Graph the function. b....Ch. 3 - For Exercises 8-11, a. Graph the function. b....Ch. 3 - Write the statement in exponential form. lnx+y=aCh. 3 - Prob. 13TCh. 3 - Prob. 14TCh. 3 - For Exercises 13-18, evaluate the logarithmic...Ch. 3 - Prob. 16TCh. 3 - Prob. 17TCh. 3 - Prob. 18TCh. 3 - Prob. 19TCh. 3 - Prob. 20TCh. 3 - Prob. 21TCh. 3 - Prob. 22TCh. 3 - For Exercises 23-24, write the logarithmic...Ch. 3 - Prob. 24TCh. 3 - Prob. 25TCh. 3 - Prob. 26TCh. 3 - Prob. 27TCh. 3 - Prob. 28TCh. 3 - Prob. 29TCh. 3 - Prob. 30TCh. 3 - Prob. 31TCh. 3 - Prob. 32TCh. 3 - For Exercises 27-36, solve the equation. Write the...Ch. 3 - Prob. 34TCh. 3 - Prob. 35TCh. 3 - Prob. 36TCh. 3 - Prob. 37TCh. 3 - For Exercises 37-38, solve for the indicated...Ch. 3 - Suppose that $10,000 is invested and the account...Ch. 3 - Prob. 40TCh. 3 - The population Pt of a herd of deer on an island...Ch. 3 - The number N of visitors to a new website is given...Ch. 3 - Prob. 1CRECh. 3 - For Exercises 1-2, simplify the expression. 52x23Ch. 3 - Prob. 3CRECh. 3 - Prob. 4CRECh. 3 - For Exercises 5-13, solve the equations and...Ch. 3 - Prob. 6CRECh. 3 - Prob. 7CRECh. 3 - Prob. 8CRECh. 3 - Prob. 9CRECh. 3 - Prob. 10CRECh. 3 - Prob. 11CRECh. 3 - Prob. 12CRECh. 3 - Prob. 13CRECh. 3 - Prob. 14CRECh. 3 - Prob. 15CRECh. 3 - Prob. 16CRECh. 3 - Given fx=3x+6x2, a. Write an equation of the...Ch. 3 - Prob. 18CRECh. 3 - Prob. 19CRECh. 3 - Prob. 20CRE
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- The population of a culture of bacteria is modeled by the logistic equation P(t)=14,2501+29e0.62t where t is inarrow_forwardsolve a,b,c and d given in the image provided.arrow_forwardA researcher investigating the factors related to a country's economic growth between 2005 and 2010 estimates the following model for a sample of countries (using cross sectional data): GROWTH = a + b × GDPH2005 + cx INV + d x EDUC + ex RIGHTS + fx ELEC where: GROWTH is the country's economic growth (percent change of GDP per person at constant prices between 2005 and 2010); GDPH2005 is the log of the country's level of GDP per person in 2005 (US$ at 2005 prices); INV is the country's share of gross investment in fixed capital (Gross Fixed Capital Formation) as a percentage of GDP in 2005; EDUC is an indicator of the level of education of the population (total enrolment in secondary schools as a % of population aged 15 and over); RIGHTS is an indicator of the strength of legal rights (0=weak to 12-strong); ELEC is the percentage of population who have access to electricity; The results of the estimation are: Variables GDPH2005 INV EDUC RIGHTS ELEC Constant INV RIGHTS ELEC EDUC…arrow_forward
- Bacteria growth was measured over a one-month period. Scatterplot A displays the number of cells measured over the recorded number of days. Two transformations of the data are shown in the next two graphs. Scatterplot B displays the relationship between the number of days and the natural log of the number of cells of bacteria. Scatterplot C displays the relationship between the natural log of the number of days and the natural log of the number of cells of bacteria. Which model best represents the relationship between the number of days and the number of cells of bacteria? A linear model would best represent the relationship because scatterplot A is fairly linear. An exponential model would best represent the relationship because scatterplot B is fairly linear. A linear model would best represent the relationship because scatterplot B is fairly linear. A power model would best represent the relationship because scatterplot C is fairly linear.arrow_forwardCan you solve part A pleasearrow_forwardThe scatterplot shows how the pulse rate changes with the weight of a person. Pulse Rate 86.41 - 0.09144(Weight) %3D 100 90 80 70 60 50 100 120 140 160 180 200 220 Pulse Ratearrow_forward
- a scuba diver used her camera equipment to measure the intensity of light, in lux, as she dove into the lake. She compared her readings with the depth of water at each point. light intensity(lux) - 5.0, 4.0, 3.0, 2.0, 1.0 depth of water(m) - 2.3, 3.1, 4.0, 5.4, 7.7 (a) use logarithmic regression to model data, round all values to the nearest hundredth (b) At what depth, to the nearest tenth of a metre is the light intensity 3.6 lux (c) What is the light intensity at the surface, round to the nearest tentharrow_forwardWhat if the model is a conditional logistic model? Will the answer be anything different? Thank you.arrow_forwardWhy is the data lognormalarrow_forward
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