Question 1

Use the One-to-One Property to solve the following equation for x.

Accepted Answer

A) 2 
B)    
C)    
D)    
E)    
A) 2 
B)    
C)    
D)    
E)

Question 2

Graph the function using translations.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 3

An initial investment of $6000 grows at an annual interest rate of 7% compounded continuously. How long will it take to double the investment?

Accepted Answer

A) 9.90 years 
B) 1 year 
C) 10.29 years 
D) 10.90 years 
E) 9.29 years 
A) 9.90 years 
B) 1 year 
C) 10.29 years 
D) 10.90 years 
E) 9.29 years

Question 4

Evaluate the logarithm   using the change of base formula. Round to 3 decimal places.

Accepted Answer

A) 0.402 
B) 2.485 
C) 9.411 
D) 4.836 
E) 2.100 
A) 0.402 
B) 2.485 
C) 9.411 
D) 4.836 
E) 2.100

Question 5

Identify the x-intercept of the function   .

Accepted Answer

A)    
B)    
C)    
D) The function has no x-intercept. 
E)    
A)    
B)    
C)    
D) The function has no x-intercept. 
E)

Question 6

Solve the equation   for x using the One-to-One Property.

Accepted Answer

A) -1 
B) -101 
C) -99 
D) The equation has no solution. 
E) 101 
A) -1 
B) -101 
C) -99 
D) The equation has no solution. 
E) 101

Question 7

Find the exact value of   without using a calculator.

Accepted Answer

A)    
B)    
C)    
D)    
E) -1 
A)    
B)    
C)    
D)    
E) -1

Question 8

Assume that x, y, and d are positive numbers. Use the properties of logarithms to write the expression   in terms of the logarithms of x and y.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 9

An initial investment of $9000 grows at an annual interest rate of 5% compounded continuously. How long will it take to double the investment?

Accepted Answer

A) 13.86 years 
B) 14.86 years 
C) 14.40 years 
D) 13.40 years 
E) 1 year 
A) 13.86 years 
B) 14.86 years 
C) 14.40 years 
D) 13.40 years 
E) 1 year

Question 10

Assume that x, y, and z are positive numbers. Use the properties of logarithms to write the expression   as the logarithm of one quantity.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Use the One-to-One Property to solve the following equation for x.

Graph the function using translations.

An initial investment of $6000 grows at an annual interest rate of 7% compounded continuously. How long will it take to double the investment?

Evaluate the logarithm using the change of base formula. Round to 3 decimal places.

Identify the x-intercept of the function .

Solve the equation for x using the One-to-One Property.

Find the exact value of without using a calculator.

Assume that x, y, and d are positive numbers. Use the properties of logarithms to write the expression in terms of the logarithms of x and y.

An initial investment of $9000 grows at an annual interest rate of 5% compounded continuously. How long will it take to double the investment?

Assume that x, y, and z are positive numbers. Use the properties of logarithms to write the expression as the logarithm of one quantity.

Functions and Their Graphs

Solving Equations and Inequalities

Polynomial and Rational Functions

Trigonometric Functions

Analytic Trigonometry

Additional Topics in Trigonometry

Linear Systems and Matrices

Sequences, Series, and Probability

Topics in Analytic Geometry

Algebraic Expressions and Equations

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Exam 4: Exponential and Logarithmic Functions

Use the One-to-One Property to solve the following equation for x.

Graph the function using translations.

An initial investment of $6000 grows at an annual interest rate of 7% compounded continuously. How long will it take to double the investment?

Evaluate the logarithm using the change of base formula. Round to 3 decimal places.

Identify the x-intercept of the function .

Solve the equation for x using the One-to-One Property.

Find the exact value of without using a calculator.

Assume that x, y, and d are positive numbers. Use the properties of logarithms to write the expression in terms of the logarithms of x and y.

An initial investment of $9000 grows at an annual interest rate of 5% compounded continuously. How long will it take to double the investment?

Assume that x, y, and z are positive numbers. Use the properties of logarithms to write the expression as the logarithm of one quantity.

Functions and Their Graphs

Solving Equations and Inequalities

Polynomial and Rational Functions

Trigonometric Functions

Analytic Trigonometry

Additional Topics in Trigonometry

Linear Systems and Matrices

Sequences, Series, and Probability

Topics in Analytic Geometry

Algebraic Expressions and Equations

Filters