Question 1

Solve for the indicated variable.
-

Accepted Answer

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

Question 2

Solve the equation. Use a calculator where appropriate. If the answer is irrational, round to the nearest hundredth.
-

Accepted Answer

A)  -16 
B)  16 
C)    
D)    
A)  -16 
B)  16 
C)    
D)

Question 3

Solve the problem.
-If $7000 is invested at 8% compounded continuously, determine the balance in the account after 3 years.

Accepted Answer

A)  $8898.74 
B)  $8817.98 
C)  $8680.00 
D)  $8998.74 
A)  $8898.74 
B)  $8817.98 
C)  $8680.00 
D)  $8998.74

Question 4

For the given functions f and g , find the indicated value.
-

Accepted Answer

A)  91 
B)    
C)  0 
D)  43 
A)  91 
B)    
C)  0 
D)  43

Question 5

By changing the logarithm to exponential form, evaluate the common logarithm without the use of a calculator.
-

Accepted Answer

A)  40 
B)    
C)  4 
D)    
A)  40 
B)    
C)  4 
D)

Question 6

Determine whether the given functions are inverses of each other.
-

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 7

The following equation is in the form P = P0ekt. Solve the equation for the remaining variable. Remember, e is a
constant.
-

Accepted Answer

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

Question 8

Use properties of logarithms to expand the logarithmic expression as much as possible.
-

Accepted Answer

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

Question 9

Evaluate.
-

Accepted Answer

A)  7 
B)  6 
C)  8 
D)  1 
A)  7 
B)  6 
C)  8 
D)  1

Question 10

Solve the problem.
-How many times more intense is an earthquake that measures 8.25 on the Richter scale than the minimum level for comparison? Round answer to the nearest integer.

Accepted Answer

A)  825 
B)  177,827,941 
C)  8 
D)  83 
A)  825 
B)  177,827,941 
C)  8 
D)  83

Question 11

Use the definition of a logarithm to find an equivalent equation.
-

Accepted Answer

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

Question 12

Find the unknown value.
-

Accepted Answer

A)  6 
B)  2 
C)  3 
D)  9 
A)  6 
B)  2 
C)  3 
D)  9

Question 13

Determine whether the given functions are inverses of each other.
-

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 14

Use the change of base formula to find the value of the following logarithm. Do not round logarithms in the change of
base formula. Write the answer rounded to the nearest ten-thousandth.
-

Accepted Answer

A)  -5.8058 
B)  0.0482 
C)  -1.6612 
D)  -0.602 
A)  -5.8058 
B)  0.0482 
C)  -1.6612 
D)  -0.602

Question 15

Find the power of 10. Round answers to six decimal places.
-

Accepted Answer

A)  15.718098 
B)  1.317164 
C)  0.302280 
D)  0.063621 
A)  15.718098 
B)  1.317164 
C)  0.302280 
D)  0.063621

Question 16

Write the equation in exponential form.
-

Accepted Answer

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

Question 17

Evaluate.
-

Accepted Answer

A)  20 
B)  5 
C)  625 
D)  4 
A)  20 
B)  5 
C)  625 
D)  4

Question 18

Use the change of base formula to find the value of the following logarithm. Do not round logarithms in the change of
base formula. Write the answer rounded to the nearest ten-thousandth.
-

Accepted Answer

A)  0.7124 
B)  0.5067 
C)  3.0172 
D)  1.4036 
A)  0.7124 
B)  0.5067 
C)  3.0172 
D)  1.4036

Question 19

Determine whether the function is a one-to-one function.
-{(6, 9), (7, 9), (8, -4), (9, 9)}

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 20

Write as a logarithm of a single expression.
-

Accepted Answer

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

Solve for the indicated variable. -

Solve the equation. Use a calculator where appropriate. If the answer is irrational, round to the nearest hundredth. -

Solve the problem. -If $7000 is invested at 8% compounded continuously, determine the balance in the account after 3 years.

For the given functions f and g , find the indicated value. -

By changing the logarithm to exponential form, evaluate the common logarithm without the use of a calculator. -

Determine whether the given functions are inverses of each other. -

The following equation is in the form P = P0ekt. Solve the equation for the remaining variable. Remember, e is a constant. -

Use properties of logarithms to expand the logarithmic expression as much as possible. -

Evaluate. -

Solve the problem. -How many times more intense is an earthquake that measures 8.25 on the Richter scale than the minimum level for comparison? Round answer to the nearest integer.

Use the definition of a logarithm to find an equivalent equation. -

Find the unknown value. -

Determine whether the given functions are inverses of each other. -

Use the change of base formula to find the value of the following logarithm. Do not round logarithms in the change of base formula. Write the answer rounded to the nearest ten-thousandth. -

Find the power of 10. Round answers to six decimal places. -

Write the equation in exponential form. -

Evaluate. -

Use the change of base formula to find the value of the following logarithm. Do not round logarithms in the change of base formula. Write the answer rounded to the nearest ten-thousandth. -

Determine whether the function is a one-to-one function. -{(6, 9), (7, 9), (8, -4), (9, 9)}

Write as a logarithm of a single expression. -

Real Numbers

Solving Linear Equations and Inequalities

Applications of Algebra

Graphing Linear Equations

Exponents and Polynomials

Factoring

Rational Expressions and Equations

Functions and Their Graphs

Systems of Linear Equations

Inequalities in One and Two Variables

Roots, Radicals, and Complex Numbers

Quadratic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Appendix Review of Decimals and Percent

Filters

Exam 13: Exponential and Logarithmic Functions

Solve for the indicated variable. -

Solve the equation. Use a calculator where appropriate. If the answer is irrational, round to the nearest hundredth. -

Solve the problem. -If $7000 is invested at 8% compounded continuously, determine the balance in the account after 3 years.

For the given functions f and g , find the indicated value. -

By changing the logarithm to exponential form, evaluate the common logarithm without the use of a calculator. -

Determine whether the given functions are inverses of each other. -

The following equation is in the form P = P0ekt. Solve the equation for the remaining variable. Remember, e is a constant. -

Use properties of logarithms to expand the logarithmic expression as much as possible. -

Evaluate. -

Solve the problem. -How many times more intense is an earthquake that measures 8.25 on the Richter scale than the minimum level for comparison? Round answer to the nearest integer.

Use the definition of a logarithm to find an equivalent equation. -

Find the unknown value. -

Determine whether the given functions are inverses of each other. -

Use the change of base formula to find the value of the following logarithm. Do not round logarithms in the change of base formula. Write the answer rounded to the nearest ten-thousandth. -

Find the power of 10. Round answers to six decimal places. -

Write the equation in exponential form. -

Evaluate. -

Use the change of base formula to find the value of the following logarithm. Do not round logarithms in the change of base formula. Write the answer rounded to the nearest ten-thousandth. -

Determine whether the function is a one-to-one function. -{(6, 9), (7, 9), (8, -4), (9, 9)}

Write as a logarithm of a single expression. -

Real Numbers

Solving Linear Equations and Inequalities

Applications of Algebra

Graphing Linear Equations

Exponents and Polynomials

Factoring

Rational Expressions and Equations

Functions and Their Graphs

Systems of Linear Equations

Inequalities in One and Two Variables

Roots, Radicals, and Complex Numbers

Quadratic Functions

Conic Sections

Sequences, Series, and the Binomial Theorem

Appendix Review of Decimals and Percent

Filters