Question 1

Solve the equation. Give an exact solution.
-log9(x - 2) + log9(x - 2) = 1

Accepted Answer

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

Question 2

Find the value of the logarithmic function.
-

Accepted Answer

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

Question 3

Solve the equation.
-

Accepted Answer

A)  2 
B)   
C)  4 
D)  8

Question 4

Solve the equation. Round your answer to three decimal places.
-

Accepted Answer

A)  1.723 
B)  0.580 
C)  1.163 
D)  3.200

Question 5

Find the domain of the function.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 6

Find the value of the logarithmic function.
-

Accepted Answer

A)  -8 
B)  -2 
C)  8 
D)  2

Question 7

Use a graphing calculator to solve the equation. Round to two decimal places.
-

Accepted Answer

A)  1.61 
B)  0.30 
C)  3.32 
D)  5.00

Question 8

Graph the function.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 9

Rewrite the expression as a single logarithm.
-

Accepted Answer

A)   
B)   
C)   
D)

Question 10

Solve the problem.
-The decay of 517 mg of a radioactive substance is given by  where t is time in years. Find the amount left after 77 years.

Accepted Answer

A)  44 
B)  43 
C)  501 
D)  22

Question 11

Solve the equation.
-

Accepted Answer

A)   
B)   
C)  -3 
D)  3

Question 12

Solve the equation. Round your answer to three decimal places.
-

Accepted Answer

A)  -0.463 
B)  -5.000 
C)  2.161 
D)  -2.161

Question 13

Solve the problem.
-An earthquake was recorded as 104.1 times more powerful than a reference level zero earthquake. What was the magnitude of this earthquake on the Richter scale?

Accepted Answer

A)  14.1 
B)  9.4 
C)  5.9 
D)  4.1

Question 14

Solve the equation. If necessary, round to thousandths.
-

Accepted Answer

A)  2.943 
B)  8 
C)  2.828 
D)  2.079

Question 15

Use a calculator and the base-change formula to find the logarithm to four decimal places.
-

Accepted Answer

A)  1.9729 
B)  8.2955 
C)  0.5069 
D)  1.8633

Question 16

Use a graph or a table to find the limit.
-

Accepted Answer

A)   
B)  100 
C)  1 
D)

Question 17

Solve the problem.
-How long will it take for $4700 to grow to $47,300 at an interest rate of 1.7% if the interest is compounded quarterly? Round the number of years to the nearest hundredth.

Accepted Answer

A)  544.44 yr 
B)  136.11 yr 
C)  593.25 yr 
D)  136.97 yr

Question 18

Solve the problem.
-If $2500 is invested in an account that pays interest compounded continuously, how long will it take to grow to $5000 at 8%? Round to the nearest tenth.

Accepted Answer

A)  8.7 years 
B)  11.5 years 
C)  9.0 years 
D)  5.5 years

Question 19

Provide an appropriate response.
-Prove that loga(  . Hint: Recognize that

Accepted Answer

The answer of Provide an appropriate response.
-Prove that loga( ...

Question 20

Find the domain of the function.
-

Accepted Answer

A)   
B)   
C)   
D)

Exam 4: Exponential and Logarithmic Functions

Solve the equation. Give an exact solution. -log9(x - 2) + log9(x - 2) = 1

Find the value of the logarithmic function. -

Solve the equation. -

Solve the equation. Round your answer to three decimal places. -

Find the domain of the function. -

Find the value of the logarithmic function. -

Use a graphing calculator to solve the equation. Round to two decimal places. -

Graph the function. -

Rewrite the expression as a single logarithm. -

Solve the problem. -The decay of 517 mg of a radioactive substance is given by where t is time in years. Find the amount left after 77 years.

Solve the equation. -

Solve the equation. Round your answer to three decimal places. -

Solve the problem. -An earthquake was recorded as 104.1 times more powerful than a reference level zero earthquake. What was the magnitude of this earthquake on the Richter scale?

Solve the equation. If necessary, round to thousandths. -

Use a calculator and the base-change formula to find the logarithm to four decimal places. -

Use a graph or a table to find the limit. -

Solve the problem. -How long will it take for $4700 to grow to $47,300 at an interest rate of 1.7% if the interest is compounded quarterly? Round the number of years to the nearest hundredth.

Solve the problem. -If $2500 is invested in an account that pays interest compounded continuously, how long will it take to grow to $5000 at 8%? Round to the nearest tenth.

Provide an appropriate response. -Prove that loga( . Hint: Recognize that

Find the domain of the function. -