Question 1

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)  
  B

Question 2

Assume that x, y, and b 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)    D

Question 3

Find the graph of the function.

Accepted Answer

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

Question 4

Simplify the expression.

Accepted Answer

A) 4 
B) 5 
C) 20 
D) 16 
E) none of these 
A) 4 
B) 5 
C) 20 
D) 16 
E) none of these

Question 5

Graph the function.

Accepted Answer

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

Question 6

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 7

Identify the graph of the function.

Accepted Answer

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

Question 8

Find the value of x.

Accepted Answer

A) x = 81 
B) x = 3 
C) x = 4 
D) x = 41 
A) x = 81 
B) x = 3 
C) x = 4 
D) x = 41

Question 9

Graph the function using translations.

Accepted Answer

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

Question 10

Solve the equation. 2x = 7

Accepted Answer

A) x = 1.3562 
B) x = 1.5907 
C) x = 0.3562 
D) x = 5.7883 
E) x = 0.4796 
A) x = 1.3562 
B) x = 1.5907 
C) x = 0.3562 
D) x = 5.7883 
E) x = 0.4796

Question 11

Graph the function using translations.

Accepted Answer

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

Question 12

Graph the function using translations.

Accepted Answer

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

Question 13

Assume that x is a positive number. 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)

Question 14

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

Accepted Answer

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

Question 15

Graph the exponential function.

Accepted Answer

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

Question 16

Find the value of b that would cause the graph of y = bx to look like the graph below.

Accepted Answer

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

Question 17

Find the value of b that would cause the graph of y = bx  to look like the graph indicated.

Accepted Answer

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

Question 18

Use a graphing utility to determine which graph below is the graph of the function.

Accepted Answer

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

Question 19

Find the value of b, if any, that would cause the graph of   to look like the graph shown.

Accepted Answer

A) b = 3.5 
B) b = 2.5 
C) b = 4 
D) b = 3 
E) b = 2 
A) b = 3.5 
B) b = 2.5 
C) b = 4 
D) b = 3 
E) b = 2

Question 20

Write the equation   in logarithmic form.

Accepted Answer

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

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

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

Find the graph of the function.

Simplify the expression.

Graph the function.

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.

Identify the graph of the function.

Find the value of x.

Graph the function using translations.

Solve the equation. 2^x = 7

Graph the function using translations.

Graph the function using translations.

Assume that x is a positive number. Use the properties of logarithms to write the expression as the logarithm of one quantity.

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

Graph the exponential function.

Find the value of b that would cause the graph of y = b^x to look like the graph below.

Find the value of b that would cause the graph of y = b^x to look like the graph indicated.

Use a graphing utility to determine which graph below is the graph of the function.

Find the value of b, if any, that would cause the graph of to look like the graph shown.

Write the equation in logarithmic form.

Functions and Their Graphs

Solving Equations and Inequalities

Polynomial and Rational Functions

Linear Systems and Matrices

Sequences, Series, and Probability

Conics and Parametric Equations

Prerequisites

Filters

Exam 4: Exponential and Logarithmic Functions

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

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

Find the graph of the function.

Simplify the expression.

Graph the function.

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.

Identify the graph of the function.

Find the value of x.

Graph the function using translations.

Solve the equation. 2x = 7

Graph the function using translations.

Graph the function using translations.

Assume that x is a positive number. Use the properties of logarithms to write the expression as the logarithm of one quantity.

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

Graph the exponential function.

Find the value of b that would cause the graph of y = bx to look like the graph below.

Find the value of b that would cause the graph of y = bx to look like the graph indicated.

Use a graphing utility to determine which graph below is the graph of the function.

Find the value of b, if any, that would cause the graph of to look like the graph shown.

Write the equation in logarithmic form.

Functions and Their Graphs

Solving Equations and Inequalities

Polynomial and Rational Functions

Linear Systems and Matrices

Sequences, Series, and Probability

Conics and Parametric Equations

Prerequisites

Filters

Solve the equation. 2^x = 7

Find the value of b that would cause the graph of y = b^x to look like the graph below.

Find the value of b that would cause the graph of y = b^x to look like the graph indicated.