Question 1

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 2

Solve the equation. 6x = 8

Accepted Answer

A) x = 0.9851 
B) x = 1.8617 
C) x = 6.2938 
D) x = 2.0962 
E) x = 0.8617 
A) x = 0.9851 
B) x = 1.8617 
C) x = 6.2938 
D) x = 2.0962 
E) x = 0.8617

Question 3

Graph the exponential function.

Accepted Answer

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

Question 4

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 5

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 6

Find the graph of the function.

Accepted Answer

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

Question 7

Identify the graph of the function.

Accepted Answer

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

Question 8

Use a calculator to find the value for   to four decimal places.

Accepted Answer

A) -0.933 
B) 0.933 
C) -0.0669 
D) 0.0669 
E) -0.1542 
A) -0.933 
B) 0.933 
C) -0.0669 
D) 0.0669 
E) -0.1542

Question 9

Use a calculator to find the value for   to four decimal places.

Accepted Answer

A) 0.7091 
B) -1.6329 
C) -0.2908 
D) 0.2908 
E) -0.7091 
A) 0.7091 
B) -1.6329 
C) -0.2908 
D) 0.2908 
E) -0.7091

Question 10

Graph the function.

Accepted Answer

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

Question 11

Find the value of x.

Accepted Answer

A) x = 65,536 
B) x = 32,768 
C) x = 4 
D) x = 8 
A) x = 65,536 
B) x = 32,768 
C) x = 4 
D) x = 8

Question 12

Find the exact value of   without using a calculator.

Accepted Answer

A) 3 
B) 2 
C) 1.5 
D) 0.75 
E) 1 
A) 3 
B) 2 
C) 1.5 
D) 0.75 
E) 1

Question 13

Find the graph of the function.

Accepted Answer

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

Question 14

Evaluate the function   at   . Round to 3 decimal places. (You may use your calculator.)

Accepted Answer

A) -2.241 
B) undefined 
C) 1.707 
D) 4.272 
E) -1.707 
A) -2.241 
B) undefined 
C) 1.707 
D) 4.272 
E) -1.707

Question 15

Graph the function using translations.

Accepted Answer

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

Question 16

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

Accepted Answer

A) -9 
B) -11 
C) 11 
D) 0 
E) The equation has no solution. 
A) -9 
B) -11 
C) 11 
D) 0 
E) The equation has no solution.

Question 17

Rewrite the logarithm   in terms of the common logarithm (base 10).

Accepted Answer

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

Question 18

Graph the function.

Accepted Answer

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

Question 19

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

Accepted Answer

A) 2.468 
B) 2.921 
C) 11.060 
D) 5.684 
E) 0.342 
A) 2.468 
B) 2.921 
C) 11.060 
D) 5.684 
E) 0.342

Question 20

Find the graph of the function.

Accepted Answer

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

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

Solve the equation. 6^x = 8

Graph the exponential function.

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.

Find the graph of the function.

Identify the graph of the function.

Use a calculator to find the value for to four decimal places.

Use a calculator to find the value for to four decimal places.

Graph the function.

Find the value of x.

Find the exact value of without using a calculator.

Find the graph of the function.

Evaluate the function at . Round to 3 decimal places. (You may use your calculator.)

Graph the function using translations.

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

Rewrite the logarithm in terms of the common logarithm (base 10).

Graph the function.

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

Find the graph of the function.

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

Exam 4: Exponential and Logarithmic Functions

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

Solve the equation. 6x = 8

Graph the exponential function.

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.

Find the graph of the function.

Identify the graph of the function.

Use a calculator to find the value for to four decimal places.

Use a calculator to find the value for to four decimal places.

Graph the function.

Find the value of x.

Find the exact value of without using a calculator.

Find the graph of the function.

Evaluate the function at . Round to 3 decimal places. (You may use your calculator.)

Graph the function using translations.

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

Rewrite the logarithm in terms of the common logarithm (base 10).

Graph the function.

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

Find the graph of the function.

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

Solve the equation. 6^x = 8