Question 1

Solve the equation.
-ln x + ln (x - 1) = ln 30

Accepted Answer

A)  6 
B)   
C)  -5 
D)  6, -5

Question 2

Write as a logarithm of a single expression.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 3

Evaluate.
-

Accepted Answer

A)  5 
B)  30 
C)  6 
D)  1

Question 4

Find the unknown value.
-

Accepted Answer

A)  -49 
B)  -3 
C)  3 
D)  49

Question 5

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

Accepted Answer

A)   
B)   
C)   
D)

Question 6

To what exponent must the base 10 be raised to obtain the given value? Round the answer to four decimal places.
-4.47

Accepted Answer

A)  0.6405 
B)  0.6599 
C)  1.4974 
D)  0.6503

Question 7

Graph the function.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 8

Solve the problem.
-The pH of a solution ranges from 0 to 14. An acid has a pH less than 7. Pure water is neutral and has a pH of 7. The pH of a solution is given by  where  represents the concentration of the hydrogen ions in
The solution in moles per liter. Find the pH if the hydrogen ion concentration is

Accepted Answer

A)  -3 
B)  11 
C)  -11 
D)  3

Question 9

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

Accepted Answer

A)   
B)   
C)   
D)

Question 10

Evaluate.
-

Accepted Answer

A)  3 
B)  30 
C)  1000 
D)  0.001

Question 11

Find the power of 10. Round answers to six decimal places.
-1

Accepted Answer

A)  0.052012 
B)  0.744063 
C)  19.226490 
D)  3.610694

Question 12

Solve the equation without using a calculator.
-

Accepted Answer

A)   
B)  -3 
C)  3 
D)

Question 13

Evaluate.
-

Accepted Answer

A)   
B)  2 
C)  20 
D)  -2

Question 14

Write as a logarithm of a single expression.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 15

Graph the function.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 16

Determine whether the function is a one-to-one function.
-

Accepted Answer

A)  Yes 
B)  No

Question 17

Solve the equation.
-

Accepted Answer

A)  12, 2 
B)  13 
C)  2 
D)  12

Question 18

Write as a logarithm of a single expression.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 19

Determine whether the given function is one-to-one. If it is one-to-one, find its inverse function.
-

Accepted Answer

A)   
B)   
C)   3 
D)  not a one-to-one function

Question 20

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

Accepted Answer

A)   
B)  -2 
C)  2 
D)

Exam 13: Exponential and Logarithmic Functions

Solve the equation. -ln x + ln (x - 1) = ln 30

Write as a logarithm of a single expression. -

Evaluate. -

Find the unknown value. -

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

To what exponent must the base 10 be raised to obtain the given value? Round the answer to four decimal places. -4.47

Graph the function. -

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

Evaluate. -

Find the power of 10. Round answers to six decimal places. -1

Solve the equation without using a calculator. -

Evaluate. -

Write as a logarithm of a single expression. -

Graph the function. -

Determine whether the function is a one-to-one function. -

Solve the equation. -

Write as a logarithm of a single expression. -

Determine whether the given function is one-to-one. If it is one-to-one, find its inverse function. -

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