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Exam 5: Logarithmic Functions

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Exam 1: Linear Functions and Change125 Questionsadd course
Exam 2: Functions107 Questionsadd course
Exam 3: Quadratic Functions41 Questionsadd course
Exam 4: Exponential Functions102 Questionsadd course
Exam 5: Logarithmic Functions79 Questionsadd course
Exam 6: Transformations of Functions and Their Graphs100 Questionsadd course
Exam 7: Trigonometry in Circles and Triangles120 Questionsadd course
Exam 8: Trigonometric Functions120 Questionsadd course
Exam 9: Trigonometric Identities and Their Applications60 Questionsadd course
Exam 10: Compositions, Inverses, and Combinations of Functions64 Questionsadd course
Exam 11: Polynomial and Rational Functions143 Questionsadd course
Exam 12: Vectors and Matrices102 Questionsadd course
Exam 13: Sequences and Series81 Questionsadd course
Exam 14: Parametric Equations and Conic Sections120 Questionsadd course
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Use linear regression on the values x and Use linear regression on the values x and to fit a function of the form . Use a calculator program to find the slope of the regression line for this data. Round to 4 decimal places. to fit a function of the form Use linear regression on the values x and to fit a function of the form . Use a calculator program to find the slope of the regression line for this data. Round to 4 decimal places. . Use linear regression on the values x and to fit a function of the form . Use a calculator program to find the slope of the regression line for this data. Round to 4 decimal places. Use a calculator program to find the slope of the regression line for this data. Round to 4 decimal places.

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Question 61

The following table gives w as a linear function of u. The following table gives w as a linear function of u. If , find at . If The following table gives w as a linear function of u. If , find at . , find The following table gives w as a linear function of u. If , find at . at The following table gives w as a linear function of u. If , find at . .

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Question 62

Let Let . What is ? . What is Let . What is ? ?

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Question 63

The horizontal asymptote of the graph of The horizontal asymptote of the graph of is at y = _____. If necessary, round to 2 decimal places. is at y = _____. If necessary, round to 2 decimal places.

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Question 64

Solve Solve using logs. Give your answer to 3 decimal places. using logs. Give your answer to 3 decimal places.

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Question 65

The notation The notation means that the log base is unspecified. Given that , , and , use properties of logs to find . means that the log base is unspecified. Given that The notation means that the log base is unspecified. Given that , , and , use properties of logs to find . , The notation means that the log base is unspecified. Given that , , and , use properties of logs to find . , and The notation means that the log base is unspecified. Given that , , and , use properties of logs to find . , use properties of logs to find The notation means that the log base is unspecified. Given that , , and , use properties of logs to find . .

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Question 66

Use linear regression on the values x and Use linear regression on the values x and to fit a function of the form . Use a calculator program to find the regression line for this data. Convert to an exponential function . Give the value of k. Round to 4 decimal places. to fit a function of the form Use linear regression on the values x and to fit a function of the form . Use a calculator program to find the regression line for this data. Convert to an exponential function . Give the value of k. Round to 4 decimal places. . Use linear regression on the values x and to fit a function of the form . Use a calculator program to find the regression line for this data. Convert to an exponential function . Give the value of k. Round to 4 decimal places. Use a calculator program to find the regression line for this data. Convert to an exponential function Use linear regression on the values x and to fit a function of the form . Use a calculator program to find the regression line for this data. Convert to an exponential function . Give the value of k. Round to 4 decimal places. . Give the value of k. Round to 4 decimal places.

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Question 67

What is the half-life of a substance that decays at a rate of 3.27% per week? Round your answer to the nearest hundredth of a week.

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Question 68

Let Let , with t measured in years. What is the continuous percent decay rate per year? , with t measured in years. What is the continuous percent decay rate per year?

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Question 69

A town with an initial population of 13,000 people doubles every 41 years. Determine the town's population after 9 years.

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Question 70

Let Let Which of the following is a simplified formula for ? Which of the following is a simplified formula for Let Which of the following is a simplified formula for ? ?

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Question 71

What is the domain of What is the domain of ? ?

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Question 72

Use linear regression on the values x and Use linear regression on the values x and to fit a function of the form . Use a calculator program to find the slope of the regression line for this data. Round to 4 decimal places. to fit a function of the form Use linear regression on the values x and to fit a function of the form . Use a calculator program to find the slope of the regression line for this data. Round to 4 decimal places. . Use linear regression on the values x and to fit a function of the form . Use a calculator program to find the slope of the regression line for this data. Round to 4 decimal places. Use a calculator program to find the slope of the regression line for this data. Round to 4 decimal places.

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Question 73

The following table gives z as a linear function of x. The following table gives z as a linear function of x. If , which of the following is a formula for y in terms of x? If The following table gives z as a linear function of x. If , which of the following is a formula for y in terms of x? , which of the following is a formula for y in terms of x?

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Question 74

Rewriting Rewriting using logs gives using logs gives

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Question 75

Let Let What is ? What is Let What is ? ?

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Question 76

The half-life of a substance is 39 hours. If there are initially 110 grams of the substance, how many grams are remaining after 48 hours? Round your answer to 3 decimal places.

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Question 77

The following table gives v as a linear function of w. The following table gives v as a linear function of w. If and , which of the following is a formula for y in terms of x? If The following table gives v as a linear function of w. If and , which of the following is a formula for y in terms of x? and The following table gives v as a linear function of w. If and , which of the following is a formula for y in terms of x? , which of the following is a formula for y in terms of x?

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Question 78

Let Let And . What is ?And Let And . What is ? . What is Let And . What is ? ?

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Question 79
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