Problem 1CP: Check Point 1 Write each equation in its equivalent exponential form: a.3=log7xb.2=logb25c.log426=y. Problem 2CP: Check Point 2 Write each equation in its equivalent logarithmic form: a.25=xb.b3=27c.ey=33. Problem 3CP: Check Point 3 Evaluate: a.log10100b.log51125c.log366 Problem 4CP:
Check Point 4 Evaluate:
b. .
Problem 5CP: Check Point 5 Evaluate:
b.
Problem 6CP: Check Point 6 Graph f(x)=3xandg(x)log3x in the same rectangular coordinate system. Problem 7CP: Check Point 7 Find the domain of f(x)=log4(x5). Problem 8CP: Check Point 8 Use the function in Example 8 to answer this question: Approximately what percentage... Problem 9CP: Check Point 9 Use the formula in Example 9 to solve this problem. If any earthquake is 10,000 times... Problem 10CP: Check Point 10 Find the domain of each function: f(x)=ln(4x) b. h(x)=lnx2. Problem 11CP: Check Point 11 Use the function in Example 11 to find the temperature increase, to the nearest... Problem 1CVC: 1. is equivalent to the exponential form__________, .
Problem 2CVC Problem 3CVC Problem 4CVC Problem 5CVC Problem 6CVC Problem 7CVC Problem 8CVC Problem 9CVC Problem 10CVC Problem 11CVC Problem 12CVC Problem 13CVC: Fill in each blank so that the resulting statement is true. The domain of g(x)=log2(5x) can be found... Problem 14CVC Problem 15CVC: Fill in each blank so that the resulting statement is true. The logarithmic function with base e is... Problem 1PE: In Exercises 1-8, write each equation in its equivalent exponential form. 4=log216 Problem 2PE: In Exercises 1-8, write each equation in its equivalent exponential form.
2.
Problem 3PE: In Exercises 1-8, write each equation in its equivalent exponential form. 2=log3x Problem 4PE: In Exercises 1-8, write each equation in its equivalent exponential form. 2=log9x Problem 5PE: In Exercises 1-8, write each equation in its equivalent exponential form.
5.
Problem 6PE: In Exercises 1-8, write each equation in its equivalent exponential form.
6.
Problem 7PE: In Exercises 1-8, write each equation in its equivalent exponential form.
7.
Problem 8PE: In Exercises 1-8, write each equation in its equivalent exponential form.
8.
Problem 9PE: In Exercises 9-20, write each equation in its equivalent logarithmic from. 23=8 Problem 10PE: In Exercises 9-20, write each equation in its equivalent logarithmic form.
10.
Problem 11PE: In Exercises 9-20, write each equation in its equivalent logarithmic from.
11.
Problem 12PE: In Exercises 9-20, write each equation in its equivalent logarithmic form.
12.
Problem 13PE: In Exercises 9-20, write each equation in its equivalent logarithmic form.
13.
Problem 14PE: In Exercises 9-20, write each equation in its equivalent logarithmic form.
14.
Problem 15PE: In Exercises 9-20, write each equation in its equivalent logarithmic form.
15.
Problem 16PE: In Exercises 9-20, write each equation in its equivalent logarithmic form. 152=x Problem 17PE: In Exercises 9-20, write each equation in its equivalent logarithmic form.
17.
Problem 18PE: In Exercises 9-20, write each equation in its equivalent logarithmic form. b3=343 Problem 19PE: In Exercises 9-20, write each equation in its equivalent logarithmic form. 7y=200 Problem 20PE: In Exercises 9-20, write each equation in its equivalent logarithmic form. 8y=300 Problem 21PE: In Exercises 21-42, evaluate each expression without using a calculator. log416 Problem 22PE: In Exercises 21-42, evaluate each expression without using a calculator.
22. log7 49
Problem 23PE: In Exercises 21-42, evaluate each expression without using a calculator. log2 64 Problem 24PE: In Exercises 21-42, evaluate each expression without using a calculator.
24. log3 27
Problem 25PE: In Exercises 21-42, evaluate each expression without using a calculator.
25.
Problem 26PE: In Exercises 21-42, evaluate each expression without using a calculator. log616 Problem 27PE: log218 In Exercises 21-42, evaluate each expression without using a calculator. Problem 28PE: In Exercises 21-42, evaluate each expression without using a calculator.
28.
Problem 29PE: In Exercises 21-42, evaluate each expression without using a calculator.
29.
Problem 30PE: In Exercises 21-42, evaluate each expression without using calculator. log66 Problem 31PE: In Exercises 21-42, evaluate each expression without using a calculator.
31.
Problem 32PE: In Exercises 21-42, evaluate each expression without using a calculator.
32.
Problem 33PE: In Exercises 21-42, evaluate each expression without using a calculator. log64 8 Problem 34PE: In Exercises 21-42, evaluate each expression without using a calculator.
34. log81 9
Problem 35PE: In Exercises 21-42, evaluate each expression without using a calculator. logs5 5 Problem 36PE: In Exercises 21-42, evaluate each expression without using a calculator. log11 11 Problem 37PE: In Exercises 21-42, evaluate each expression without using calculator.
37. log4 1
Problem 38PE: In Exercises 21-42, evaluate each expression without using a calculator.
38. log6 1
Problem 39PE: In Exercises 21-42, evaluate each expression without using a calculator. log5 57 Problem 40PE: In Exercises 21-42, evaluate each expression without using calculator.
40. log446
Problem 41PE: In Exercises 21- 42, evaluate each expression without using calculator.
41.
Problem 42PE: In Exercises 21- 42, evaluate each expression without using calculator. 7log723 Problem 43PE: 43. Graph and in the same rectangular coordinate system.
Problem 44PE: 44. Graph and in the same rectangular coordinate system.
Problem 45PE: 45. Graph and in the same rectangular coordinate system.
Problem 46PE: 16. Graph and in the same rectangular coordinate system.
Problem 47PE: In Exercises 47-52, the graph of a logarithmic function is given. Select the function for each graph... Problem 48PE: In Exercises 47-52, the graph of a logarithmic function is given. Select the function for each graph... Problem 49PE: In Exercises 47-52, the graph of a logarithmic function is given. Select the function for each graph... Problem 50PE: In Exercises 47-52, the graph of a logarithmic function is given. Select the function for each graph... Problem 51PE: In Exercises 47-52, the graph of a logarithmic function is given. Select the function for each graph... Problem 52PE: In Exercises 47-52, the graph of a logarithmic function is given. Select the function for each graph... Problem 53PE: In Exercises 53-58, begin by graphing f(x)=log2(x+1) . Then use transformations of this graph to... Problem 54PE: In Exercises 53-58, begin by graphing f(x)=log2x . Then use transformations of this graph to graph... Problem 55PE: In Exercises 53-58, begin by graphing f(x)=log2x . Then use transformations of this graph to graph... Problem 56PE: In Exercises 53-58, begin by graphing Then use transformations of this graph to graph the given... Problem 57PE: In Exercises 53-58, begin by graphing f(x)=log2x. Then use transformations of this graph to graph... Problem 58PE: In Exercises 53-58, begin by graphing f(x)=log2x . Then use transformations of this graph to graph... Problem 59PE: The figure shows the graph of f(x)=logx. In Exercises 59-64, use transformations of this graph to... Problem 60PE: The figure shows the graph of . In Exercises 59-64, use transformations of this graph to graph each... Problem 61PE: The figure shows the graph of f(x)=logx . In Exercises 59-64 use transformations of this graph to... Problem 62PE: The figure shows the graph of . In Exercises 59-64, use transformations of this graph to graph each... Problem 63PE: The figure shows the graph of f(x)=logx . In Exercises 59-64, use transformations of this graph to... Problem 64PE: The figure shows the graph of f(x)=logx . In Exercises 59-64, use transformations of this graph to... Problem 65PE: The figure shows the graph of . In Exercises 65-74, use transformations of this graph to graph each... Problem 66PE: The figure shows the graph of . In Exercises 65-74, use transformations of this graph to graph each... Problem 67PE: The figure shows the graph of . In Exercises 65-74, use transformations of this graph to graph each... Problem 68PE: The figure shows the graph of f(x)=lnx . In Exercises 65-74, use transformations of this graph to... Problem 69PE: The figure shows the graph of f(x)=lnx . In Exercises 65-74, use transformations of this graph to... Problem 70PE: The figure shows the graph of . In Exercises 65-74, use transformations of this graph to graph each... Problem 71PE: The figure shows the graph of f(x)=lnx . In Exercises 65-7, use transformations of this graph to... Problem 72PE: The figure shows the graph of f(x)=lnx . In Exercises 65-74, use transformations of this graph to... Problem 73PE: The figure shows the graph of . In Exercises 65-74, use transformations of this graph to graph each... Problem 74PE: The figure shows the graph of . In Exercises 65-74, use transformations of this graph to graph each... Problem 75PE: In Exercises 75-80, find the domain of each logarithmic function. f(x)=log5(x+4) Problem 76PE: In Exercises 75-80, find the domain of each logarithmic function. f(x)=log5(x+5) Problem 77PE: In Exercises 75-80, find the domain of each logarithmic function.
77.
Problem 78PE: In Exercises 75-80, find the domain of each logarithmic function. f(x)=log(7x) Problem 79PE: In Exercises 75-80, find the domain of each logarithmic function.
79.
Problem 80PE: f(x)=ln(x7)2 Problem 81PE: 81. log 100
Problem 82PE: In Exercises 81-100, evaluate or simplify each expression without using a calculator. log 1000 Problem 83PE: In Exercises 81-100, evaluate or simplify each expression without using a calculator. log 107 Problem 84PE: 84. log 108
Problem 85PE: 85. 10 log 33
Problem 86PE: 86. 10 log 53
Problem 87PE: In 1 Problem 88PE: 88. In e
Problem 89PE: In e 6 Problem 90PE: 90. In e7
Problem 91PE: ln1e6 Problem 92PE: In Exercises 81-100, evaluate or simplify each expression without using a calculator.
92.
Problem 93PE: In Exercises 81-100, evaluate or simplify each expression without using a calculator.
93. e In 125 ... Problem 94PE: In Exercises 81-100, evaluate or simplify each expression without using a calculator. e In 300 Problem 95PE: In Exercises 81-100, evaluate or simplify each expression without using a calculator. In e 9x Problem 96PE: In Exercises 81-100, evaluate or simplify each expression without using a calculator.
96. In e13x
Problem 97PE: In Exercises 81-100, evaluate or simplify each expression without using a calculator.
97.
Problem 98PE: In Exercises 81-100, evaluate or simplify each expression without using a calculator.
98.
Problem 99PE: In Exercises 81-100, evaluate or simplify each expression without using a calculator. 10logx Problem 100PE: In Exercises 81-100, evaluate or simplify each expression without using a calculator. 10logx3 Problem 101PE: In Exercises 101-104, write each equation in its equivalent exponential form. Then solve for x.
101.... Problem 102PE: In Exercises 101-104, write each equation in its equivalent exponential form. Then solve for x.
102.... Problem 103PE: In Exercises 101-104, write each equation in its equivalent exponential form. Then solve for x.
103.... Problem 104PE: In Exercises 101-104, write each equation in its equivalent exponential form. Then solve for x.
104.... Problem 105PE: In Exercises 105-108, evaluate each expression without using a calculator. log3(log7 7) Problem 106PE: In Exercises 105-108, evaluate each expression without using a calculator. log5 (log2 32) Problem 107PE: In Exercises 105-108, evaluate each expression without using a calculator. log2 (log3 81) Problem 108PE: In Exercises 105-108, evaluate each expression without using a calculator. log (ln e ) Problem 109PE: In Exercises 109-112, find the domain of each logarithmic function.
109.
Problem 110PE: In Exercises 109-112, find the domain of each logarithmic function.
110.
Problem 111PE: In Exercises 109-112, find the domain of each logarithmic function.
111.
Problem 112PE: In Exercises 109-112, find the domain of each logarithmic function. f(x)=log(x2x+5) Problem 113PE: The percentage of adult height attained by a girl who is x years old can be modeled by
Where x... Problem 114PE: The percentage of adult height attained by a girl who is x years old can be modeled by... Problem 115PE: 115. The function
models the wives' weekly housework hours, f(x). x years after 1964.
a. Use the... Problem 116PE: The bar graph shows the average number of hours per week that U.S. wives and husbands engaged in... Problem 117PE: The loudness level of a sound, D, in decibels, is given by the formula D=10log(1012I), where 1 is... Problem 118PE: The loudness level of a sound, D. in decibels, is given by the formula D=10log(1012I), where 1 is... Problem 119PE: Students in a psychology class look a Pinal examination. As part of an experiment to see how much of... Problem 120PE: 120. Describe the relationship between an equation in logarithmic form and an equivalent equation in... Problem 121PE: 121. What question can be asked to help evaluate log3 81?
Problem 122PE: 122. Explain why the logarithm of 1 with base b is 0
Problem 123PE: Describe the following property using words: logbbx=x Problem 124PE: Explain how to use the graph of f(x)=2x to obtain the graph of g(x)=log2x Problem 125PE: Explain how to find the domain of a logarithmic function Problem 126PE: Logarithmic models are well soiled to phenomena in which growth is initially rapid but then begins... Problem 127PE: 127. Suppose that a girl is 4 feet 6 inches at age 10. Explain how to use the function in Exercises... Problem 128PE: In Exercises 128-131, graph f mill g in the some viewing rectangle. Then describe the relationship... Problem 129PE: In Exercises 128-131, graph f and g in the same viewing rectangle. Then describe the relationship of... Problem 130PE: In Exercises 128-131, graph f and g in the same viewing rectangle. Then describe the relationship of... Problem 131PE: In Exercises 128-131, graph f and g in the same viewing rectangle. Then describe the relationship of... Problem 132PE: 132. Students in a mathematics class look a final examination. They took equivalent forms of the... Problem 133PE: 133. In parts (a)-(c).graph f and g in the same viewing rectangle.
a.
b.
c.
d. Describe what you... Problem 134PE: Graph each of the following functions in the same viewing rectangle and then place the functions in... Problem 135PE: Make Sense? In Exercises 135-138, determine whether each statement makes sense or does not make... Problem 136PE: Make Sense? In Exercises 135-138, determine whether each statement makes sense or does not make... Problem 137PE: Make Sense? In Exercises 135-138, determine whether each statement makes sense or does not make... Problem 138PE: Make Sense? In Exercises 135-138, determine whether each statement makes sense or does not make... Problem 139PE: In Exercises 139-142, determine whether each statement is true or false, If the statement is false,... Problem 140PE: In Exercises 139-142, determine whether each statement is true or false, If the statement is false,... Problem 141PE: In Exercises 139-142, determine whether each statement is true or false. If the statement is false,... Problem 142PE: In Exercises 139-142, determine whether each statement is true or false. If the statement is false,... Problem 143PE: Without using a calculator, find the exact value of log381log21log228log0.001 Problem 144PE: 144. Without using a calculator, find the exact value of log4 [log3(log2 8)].
Problem 145PE: Without using a calculator, determine which is the greater number: log 4 60 or log3 40. Problem 146PE: 146. This group exercise involves exploring the way we grow. Group members should create a graph for... Problem 147PE: 147. Three or the richest comedians in the United States are Larry David (creator of Seinfeld), Matt... Problem 148PE: 148. If , find (Section 2.2, Example 8)
Problem 149PE: 149. Find the inverse of . (Section 2.7, Example 7)
Problem 150PE: Exercises 150-152 will help you prepare for the material covered in the next section. In each... Problem 151PE: Exercises 150-152 will help you prepare for the material covered in the next section. In each... Problem 152PE: Exercises 150-152 will help you prepare for the material covered in die next section. In each... format_list_bulleted
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