Question 1

Convert to an exponential equation.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 2

Express as a product.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 3

Solve.
-Given logb 4 = 1.079 and logb 12 = 1.934, evaluate logb 3.

Accepted Answer

A)  3.013 
B)  0.855 
C)  1.792 
D)  cannot be found using the properties of logarithms

Question 4

Solve for x.
-

Accepted Answer

A)   
B)   
C)  8 
D)  1

Question 5

Using a calculator, find to the nearest ten-thousandth.
-

Accepted Answer

A)  7.389 
B)  2.718 
C)  5.437 
D)  2

Question 6

Find f(x) and g(x) such that h(x) = 
-h(x) =  7

Accepted Answer

A)   
B)   
C)   
D)

Question 7

Graph.
-f(x) =  + 2

Accepted Answer

A)   
B)   
C)   
D)

Question 8

Write the word or phrase that best completes each statement or answers the question.
Provide an appropriate response.
-Explain the error in the following:

Accepted Answer

The answer of Write the word or phrase that best...

Question 9

Convert to an exponential equation.
-

Accepted Answer

A)   = 64 
B)   
C)   
D)

Question 10

Express as a product.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 11

Solve.
-How long will it take for prices in the economy to double at a 4% annual inflation rate? Use the exponential growth model  (Round to the nearest year.)

Accepted Answer

A)  14 yr 
B)  23 yr 
C)  18 yr 
D)  28 yr

Question 12

Express as a sum of logarithms.
-

Accepted Answer

A)  log 5 + log T 
B)   
C)   
D)

Question 13

Determine whether the function is one-to-one.
-f(x) =  - 6

Accepted Answer

A) True 
 B)False

Question 14

Solve.
-Suppose the consumption of electricity grows at 4.2% per year, compounded continuously. Find the number of years before the use of electricity has tripled. Round the answer to the nearest hundredth.

Accepted Answer

A)  0.26 
B)  71.43 
C)  26.16 
D)  2.62

Question 15

Solve the problem. When appropriate, round the solution to the nearest tenth. As needed, use the formula pH = 
-Find the  .

Accepted Answer

A)   
B)  .1 
C)  2.2 
D)

Question 16

Solve the equation.
- = 30 (Round to the nearest hundredth.)

Accepted Answer

A)  1.92 
B)  1.83 
C)  2.08 
D)  2.30

Question 17

Solve the equation.
- (Round to the nearest ten-thousandth.)

Accepted Answer

A)  0.1054 
B)  -0.1054 
C)  -2.4594 
D)  2.4594

Question 18

Graph.
-f(x) =  - 3

Accepted Answer

A)   
B)   
C)   
D)

Question 19

Find the common logarithm to four decimal places.
-log 36.05

Accepted Answer

A)  1.0569 
B)  4.0849 
C)  1.5569 
D)  3.5849

Question 20

Solve the problem. When appropriate, round the solution to the nearest tenth. As needed, use the formula pH = 
-Find the  if the pH = 2.3.

Accepted Answer

A)   
B)   
C)   
D)

Exam 13: Exponential Functions and Logarithmic Functions

Convert to an exponential equation. -

Express as a product. -

Solve. -Given logb 4 = 1.079 and logb 12 = 1.934, evaluate logb 3.

Solve for x. -

Using a calculator, find to the nearest ten-thousandth. -

Find f(x) and g(x) such that h(x) = -h(x) = 7

Graph. -f(x) = + 2

Write the word or phrase that best completes each statement or answers the question. Provide an appropriate response. -Explain the error in the following:

Convert to an exponential equation. -

Express as a product. -

Solve. -How long will it take for prices in the economy to double at a 4% annual inflation rate? Use the exponential growth model (Round to the nearest year.)

Express as a sum of logarithms. -

Determine whether the function is one-to-one. -f(x) = - 6

Solve. -Suppose the consumption of electricity grows at 4.2% per year, compounded continuously. Find the number of years before the use of electricity has tripled. Round the answer to the nearest hundredth.

Solve the problem. When appropriate, round the solution to the nearest tenth. As needed, use the formula pH = -Find the .

Solve the equation. - = 30 (Round to the nearest hundredth.)

Solve the equation. - (Round to the nearest ten-thousandth.)

Graph. -f(x) = - 3

Find the common logarithm to four decimal places. -log 36.05

Solve the problem. When appropriate, round the solution to the nearest tenth. As needed, use the formula pH = -Find the if the pH = 2.3.