College Algebra 7th Edition
ISBN: 9781305115545
Author: James Stewart, Lothar Redlin, Saleem Watson
Publisher: James Stewart, Lothar Redlin, Saleem Watson
P Prerequisites 1 Equations And Graphs 2 Functions 3 Polynomial And Rational Functions 4 Exponential And Logarithmic Functions 5 Systems Of Equations And Inequalities 6 Matrices And Determinants 7 Conic Sections 8 Sequences And Series 9 Counting And Probability A Calculations And Significant Figures B Graphing With A Graphing Calculator Chapter4: Exponential And Logarithmic Functions
4.1 Exponential Functions 4.2 The Natural Exponential Function 4.3 Logarithmic Functions 4.4 Laws Of Logarithms 4.5 Exponential And Logarithmic Equations 4.6 Modeling With Exponential Functions 4.7 Logarithmic Scales Chapter Questions Section4.3: Logarithmic Functions
Problem 1E: logx is the exponent to which the base 10 must be raised to get ______. So we can complete the... Problem 2E Problem 3E Problem 4E: Match the logarithmic function with its graph. (a) f(x)=log2x (b) f(x)=log2(x) (c) f(x)=log2x (d)... Problem 5E: The natural logarithmic function f(x)=Inx has the ____________ asymptote x =____. Problem 6E: The natural logarithmic function f(x)= In (x1) has the ____________ asymptote x =____. Problem 7E: Logarithmic and Exponential Forms Complete the table by finding the appropriate logarithmic or... Problem 8E: By finding the appropriate logarithmic or exponential form of the equation, as in Example 1. Problem 9E Problem 10E Problem 11E Problem 12E Problem 13E Problem 14E Problem 15E Problem 16E: Logarithmic From Express the equation in exponential form. (a) In (x+1)=2 (b) In (x1)=4 Problem 17E: Logarithmic From Express the equation in logarithmic form. (a) 104=10,000 (b) 52=125 Problem 18E: Logarithmic Form Express the equation in logarithmic form. (a) 62=36 (b) 101=110 Problem 19E Problem 20E Problem 21E Problem 22E Problem 23E Problem 24E Problem 25E Problem 26E Problem 27E Problem 28E Problem 29E Problem 30E Problem 31E Problem 32E Problem 33E Problem 34E Problem 35E: Logarithmic Equations Use the definition of the logarithmic function to find x. (a) log4x=3 (b)... Problem 36E: Logarithmic Equations Use the definition of the logarithmic function to find x. (a) log3x=2 (b)... Problem 37E: Logarithmic Equations Use the definition of the logarithmic function to find x. (a) Inx=3 (b) Ine2=x Problem 38E: Logarithmic Equations Use the definition of the logarithmic function to find x. (a) Inx=1 (b)... Problem 39E: Logarithmic Equations Use the definition of the logarithmic function to find x. (a) log7(149)=x (b)... Problem 40E: Logarithmic Equations Use the definition of the logarithmic function to find x. (a) log42=x (b)... Problem 41E: Logarithmic Equations Use the definition of the logarithmic function to find x. (a) log2(12)=x (b)... Problem 42E: Logarithmic Equations Use the definition of the logarithmic function to find x. (a) logx1000=3 (b)... Problem 43E: Logarithmic Equations Use the definition of the logarithmic function to find x. (a) logx16=4 (b)... Problem 44E: Logarithmic Equations Use the definition of the logarithmic function to find x. (a) logx6=12 (b)... Problem 45E: Evaluating Logarithms Use a calculate to evaluate the expression, correct to four decimal places (a)... Problem 46E: Evaluating Logarithms Use a calculate to evaluate the expression, correct to four decimal places (a)... Problem 47E: Evaluating Logarithms Use a calculate to evaluate the expression, correct to four decimal places (a)... Problem 48E: Evaluating Logarithms Use a calculator to evaluate the expression, correct to four decimal places... Problem 49E: Graphing Logarithmic Function Sketch the graph of the function by plotting points. f(x)=log3x Problem 50E: Graphing Logarithmic Function Sketch the graph of the function by plotting points. g(x)=log4x Problem 51E: Graphing Logarithmic Function Sketch the graph of the function by plotting points. f(x)=2logx Problem 52E Problem 53E: Finding logarithmic Function Find the function of the form y=logax whose graph is given. Problem 54E: Finding logarithmic Function Find the function of the form y=logax whose graph is given. Problem 55E: Finding logarithmic Function Find the function of the form y=logax whose graph is given. Problem 56E Problem 57E Problem 58E Problem 59E: Graphing Draw the graph of y=4x , then use it to draw the graph of y=log4x . Problem 60E: Graphing Draw the graph of y=3x , then use it to draw the graph of y=log3x . Problem 61E: Graphing Exponential Functions Graph the function, not by plotting points, but by starting from the... Problem 62E Problem 63E: Graphing Exponential Functions Graph the function, not by plotting points, but by starting from the... Problem 64E Problem 65E: Graphing Logarithmic Functions Graph the function, not by plotting points, but by starting from the... Problem 66E Problem 67E Problem 68E Problem 69E: Graphing Logarithmic Functions Graph the function, not by plotting points, but by starting from the... Problem 70E Problem 71E Problem 72E Problem 73E: Domain Find the domain of the function. f(x)=log10(x+3) Problem 74E Problem 75E: Domain Find the domain of the function. g(x)=log3(x21) Problem 76E Problem 77E: Domain Find the domain of the function. h(x)=Inx+In(2x) Problem 78E Problem 79E Problem 80E Problem 81E Problem 82E Problem 83E Problem 84E Problem 85E: Domain of a Composition Find the function fg and gf and their domains. f(x)=2x , g(x)=x+1 Problem 86E: Domain of a Composition Find the function fg and gf and their domains. f(x)=3x , g(x)=x2=1 Problem 87E: Domain of a Composition Find the function fg and gf and their domains. f(x)=log2x , g(x)=x2 Problem 88E Problem 89E Problem 90E Problem 91E Problem 92E Problem 93E Problem 94E Problem 95E: Inverse Functions Find the inverse of the function f(x)=2x1+2x What is the domain of the inverse... Problem 96E Problem 97E Problem 98E Problem 99E Problem 100E: Charging a Battery The rate at which a battery change is slower the closer the battery is to its... Problem 101E Problem 102E Problem 103E: The Googolplex A googol is 10100 , and a googolples is 10googol . Find log(log(googol)) and... Problem 104E: Comparing Logarithms Which is larger, log417 or log524 ? Explain your reasoning. Problem 105E Problem 16E: Logarithmic From Express the equation in exponential form. (a) In (x+1)=2 (b) In (x1)=4
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Topic: Logarithmic and Exponential functions
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Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.
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