Question 1

Solve the logarithmic equation exactly.

Accepted Answer

A)  5.5 
B)  7 
C)  22 
D)  6 
A)  5.5 
B)  7 
C)  22 
D)  6

Question 2

Solve the exponential equation. Make sure to isolate the base to a power first. Round your answer to three decimal places.

Accepted Answer

A)  0.571 
B)  -0.560 
C)  1.000 
D)  0.000 
A)  0.571 
B)  -0.560 
C)  1.000 
D)  0.000

Question 3

Write the expression as a single logarithm.
5log u + 6log v

Accepted Answer

A)  log   
B)  log   
C)  log (uv) 
D)  log   
A)  log   
B)  log   
C)  log (uv) 
D)  log

Question 4

Approximate the number   . Round your answer to two decimal places.

Accepted Answer

The answer of Approximate the number   . Round...

Question 5

Solve the exponential equation. Make sure to isolate the base to a power first. Round your answer to three decimal places.

Accepted Answer

A)  2.031 
B)  7.625 
C)  2.000 
D)  0.693 
A)  2.031 
B)  7.625 
C)  2.000 
D)  0.693

Question 6

Evaluate the logarithm exactly.

Accepted Answer

A)  1 
B)  11 
C)  5 
D)  undefined 
A)  1 
B)  11 
C)  5 
D)  undefined

Question 7

If money is invested in a savings account earning 4.5% interest compounded yearly, how many years will pass until the money doubles?

Accepted Answer

A)  15.75 
B)  0.41 
C)  0.66 
D)  15.40 
A)  15.75 
B)  0.41 
C)  0.66 
D)  15.40

Question 8

Use transformation to find the y-intercept and horizontal asymptote and to graph the exponential function.f (x) =

Accepted Answer

y-intercept: (0, -2)

Question 9

Given f (x) =   , evaluate f (-0.1). Round your answer to two decimal places.

Accepted Answer

A)  -0.20 
B)  0.57 
C)  0.87 
D)  2.30 
A)  -0.20 
B)  0.57 
C)  0.87 
D)  2.30

Question 10

Graph the logarithmic function.

Accepted Answer

The answer of Graph the logarithmic function.
   ...

Question 11

Write the logarithmic equation in its equivalent exponential form.
Log 1000 = 3

Accepted Answer

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

Question 12

Solve the logarithmic equation exactly.

Accepted Answer

A)    
B)    
C)    
D)  9995 
A)    
B)    
C)    
D)  9995

Question 13

Approximate the number   . Round your answer to two decimal places.

Accepted Answer

A)  21.20 
B)  2.04 
C)  1.94 
D)  4.06 
A)  21.20 
B)  2.04 
C)  1.94 
D)  4.06

Question 14

State the domain of the logarithmic function f (x) =   (47 - x) in interval notation.

Accepted Answer

The answer of State the domain of the logarithmic function...

Question 15

Graph the logarithmic function on a logarithmic scale.

Accepted Answer

The answer of Graph the logarithmic function on a logarithmic...

Question 16

Phytoplankton are microscopic plants that live in the ocean. Phytoplankton grow abundantly in oceans around the world and are the foundation of the marine food chain. One variety of phytoplankton growing in Arctic waters is increasing at a rate of 17% per month. If it is estimated that there are 80 million in the water, how many will there be in 8 months? Utilize formula   where N represents the population of phytoplankton. Round to the nearest million.

Accepted Answer

A)  1833 millions 
B)  312 millions 
C)  10,880 millions 
D)  1510 millions 
A)  1833 millions 
B)  312 millions 
C)  10,880 millions 
D)  1510 millions

Question 17

Write the logarithmic equation in its equivalent exponential form.

Accepted Answer

The answer of Write the logarithmic equation in its equivalent...

Question 18

Carbon-14 has a half-life of 5730 years. How long will it take 15 grams of carbon-14 to be reduced to 12.5 grams? Round to the nearest year.

Accepted Answer

A)  655 years 
B)  3470 years 
C)  1507 years 
D)  14,812 years 
A)  655 years 
B)  3470 years 
C)  1507 years 
D)  14,812 years

Question 19

Does the graph shown display exponential growth or decay?

Accepted Answer

The answer of Does the graph shown display exponential growth...

Question 20

Evaluate the logarithm using the change-of-base formula. Round your answer to two decimal places.

Accepted Answer

A)  1.67 
B)  0.60 
C)  5.20 
D)  2.26 
A)  1.67 
B)  0.60 
C)  5.20 
D)  2.26

Solve the logarithmic equation exactly.

Solve the exponential equation. Make sure to isolate the base to a power first. Round your answer to three decimal places.

Write the expression as a single logarithm. 5log u + 6log v

Approximate the number . Round your answer to two decimal places.

Solve the exponential equation. Make sure to isolate the base to a power first. Round your answer to three decimal places.

Evaluate the logarithm exactly.

If money is invested in a savings account earning 4.5% interest compounded yearly, how many years will pass until the money doubles?

Use transformation to find the y-intercept and horizontal asymptote and to graph the exponential function.f (x) =

Given f (x) = , evaluate f (-0.1). Round your answer to two decimal places.

Graph the logarithmic function.

Write the logarithmic equation in its equivalent exponential form. Log 1000 = 3

Solve the logarithmic equation exactly.

Approximate the number . Round your answer to two decimal places.

State the domain of the logarithmic function f (x) = (47 - x) in interval notation.

Graph the logarithmic function on a logarithmic scale.

Write the logarithmic equation in its equivalent exponential form.

Carbon-14 has a half-life of 5730 years. How long will it take 15 grams of carbon-14 to be reduced to 12.5 grams? Round to the nearest year.

Does the graph shown display exponential growth or decay?

Evaluate the logarithm using the change-of-base formula. Round your answer to two decimal places.

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Exam 5: Exponential and Logarithmic Functions

Solve the logarithmic equation exactly.

Solve the exponential equation. Make sure to isolate the base to a power first. Round your answer to three decimal places.

Write the expression as a single logarithm. 5log u + 6log v

Approximate the number . Round your answer to two decimal places.

Solve the exponential equation. Make sure to isolate the base to a power first. Round your answer to three decimal places.

Evaluate the logarithm exactly.

If money is invested in a savings account earning 4.5% interest compounded yearly, how many years will pass until the money doubles?

Use transformation to find the y-intercept and horizontal asymptote and to graph the exponential function.f (x) =

Given f (x) = , evaluate f (-0.1). Round your answer to two decimal places.

Graph the logarithmic function.

Write the logarithmic equation in its equivalent exponential form. Log 1000 = 3

Solve the logarithmic equation exactly.

Approximate the number . Round your answer to two decimal places.

State the domain of the logarithmic function f (x) = (47 - x) in interval notation.

Graph the logarithmic function on a logarithmic scale.

Write the logarithmic equation in its equivalent exponential form.

Carbon-14 has a half-life of 5730 years. How long will it take 15 grams of carbon-14 to be reduced to 12.5 grams? Round to the nearest year.

Does the graph shown display exponential growth or decay?

Evaluate the logarithm using the change-of-base formula. Round your answer to two decimal places.

Equations and Inequalities

Graphs

Functions and Their Graphs

Polynomial and Rational Functions

Systems of Linear Equations and Inequalities

Matrices

Conics and Systems of Nonlinear Equations and Inequalities

Sequences, Series, and Probability

Filters