Question 1

Convert the function  to the form  .

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 2

Using the definition of the logarithmic function, solve  for  .

Accepted Answer

A)  6 
B)  -6 
C)  1.6 
D)  -2 
E)  2

Question 3

Evaluate the expression  . Round to the nearest thousandth.

Accepted Answer

A)  -12.000 
B)  1.511 
C)  -0.255 
D)  -0.328 
E)  1.839

Question 4

Which one of the following graphs represents the function  ?

Accepted Answer

A)   
B)   
C)   
D)  None of these options 
E)

Question 5

Find the inverse of  .

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 6

Accepted Answer

A) True 
 B)False

Question 7

The number  is approximately equal to 2.71828.

Accepted Answer

A) True 
 B)False

Question 8

Using the graph below, determine  .

Accepted Answer

A)  0.33 
B)  0.05 
C)  120 
D)  19.84 
E)  3

Question 9

A 3.2-magnitude earthquake hit off the Oregon coast in August 2009. In the same month, an earthquake 4 times as intense struck China. What was the magnitude of the earthquake in China?

Accepted Answer

A)  12.8 
B)  3.2 
C)  3.8 
D)  4.6 
E)  0.5

Question 10

Which one of the following is the correct combination of the logarithm  in simplified form?

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 11

If $16,000 is invested at an interest rate of 6% for 25 years, compounded continuously, determine the annual growth rate if the money were compounded quarterly? Rounded to the nearest thousandth of a percent.

Accepted Answer

A)  0.011% 
B)  6.000% 
C)  6.184% 
D)  0.060% 
E)  106.184%

Question 12

Using the definition of the logarithmic function, solve  for  .

Accepted Answer

A)  0.6 
B)  60.0 
C)  1.7 
D)  60466176 
E)  1000000

Question 13

If  and  , determine  .

Accepted Answer

A)   
B)   
C)   
D)   
E)

Question 14

Two functions and are given by the tables below. Determine .

Accepted Answer

A)  0 
B)  -1 
C)  5 
D)  1 
E)  -2

Question 15

Accepted Answer

A) True 
 B)False

Question 16

Accepted Answer

A) True 
 B)False

Question 17

The mass of bacteria in a Petri dish is 56 micrograms. After 3 hours, the bacteria's mass as increased to 164 micrograms. How long will it take for the population to quadruple?

Accepted Answer

A)  1.3 hours 
B)  3.9 hours 
C)  0.3 hours 
D)  2.9 hours 
E)  1.4 hours

Question 18

If  and  , determine  . Round to the nearest tenth.

Accepted Answer

A)  2 
B)  20.1 
C)  -20.1 
D)  7.4 
E)  -15.1

Question 19

Solve the logarithmic equation  for  . Round to the nearest ten-thousandth.

Accepted Answer

A)  0.3333 
B)  0.0833 
C)  -0.25 
D)  -1 
E)  -0.75

Question 20

Find the inverse of  .

Accepted Answer

A)   
B)   
C)   
D)   
E)

Exam 4: Logarithmic Functions and Exponential Modela

Convert the function to the form .

Using the definition of the logarithmic function, solve for .

Evaluate the expression . Round to the nearest thousandth.

Which one of the following graphs represents the function ?

Find the inverse of .

The number is approximately equal to 2.71828.

Using the graph below, determine .

A 3.2-magnitude earthquake hit off the Oregon coast in August 2009. In the same month, an earthquake 4 times as intense struck China. What was the magnitude of the earthquake in China?

Which one of the following is the correct combination of the logarithm in simplified form?

If $16,000 is invested at an interest rate of 6% for 25 years, compounded continuously, determine the annual growth rate if the money were compounded quarterly? Rounded to the nearest thousandth of a percent.

Using the definition of the logarithmic function, solve for .

If and , determine .

Two functions and are given by the tables below. Determine .

The mass of bacteria in a Petri dish is 56 micrograms. After 3 hours, the bacteria's mass as increased to 164 micrograms. How long will it take for the population to quadruple?

If and , determine . Round to the nearest tenth.

Solve the logarithmic equation for . Round to the nearest ten-thousandth.

Find the inverse of .