Question 1

The solution for t of the equation   is: ​

Accepted Answer

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

Question 2

The decibel level D, a measure of loudness, is related to the relative intensity I of sound by the formula   . ​
Express relative intensity as a function of decibels.
​

Accepted Answer

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

Question 3

We use ln to denote the natural logarithm.The solution for t of the equation   is: ​

Accepted Answer

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

Question 4

The magnitude of earthquake 1 is 5.5.If earthquake 2 is 1,000 times as intense as earthquake 1, then the magnitude of earthquake 2 is (rounded to one decimal place if necessary) ​

Accepted Answer

A)  8.5 
B)  2.5 
C)  1,005.5 
D)  5,500 
A)  8.5 
B)  2.5 
C)  1,005.5 
D)  5,500

Question 5

The inverse of   is ​

Accepted Answer

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

Question 6

The decibel, a measure of loudness, is related to the relative intensity of sound by the formula Decibels   (Relative intensity).
A whisper in a library is about 34 decibels.What decibel level is produced by 12 people whispering in the library? Round your answer to the nearest whole number.
​

Accepted Answer

A)  408 decibels 
B)  45 decibels 
C)  410 decibels 
D)  47 decibels 
A)  408 decibels 
B)  45 decibels 
C)  410 decibels 
D)  47 decibels

Question 7

The logarithm is the inverse of an exponential function.

Accepted Answer

A) True 
 B)False

Question 8

If   is 4.19, then the value of   is (rounded to two decimal places if necessary) ​

Accepted Answer

A)  9.3 
B)  7.35 
C)  9.91 
D)  6.41 
A)  9.3 
B)  7.35 
C)  9.91 
D)  6.41

Question 9

The decibel scale is a logarithmic scale.

Accepted Answer

A) True 
 B)False

Question 10

The magnitude of a star is a measure of its brightness, and it is related to the relative intensity of light reaching Earth from the star.The relationship is Magnitude   (Relative intensity).
If relative intensity is multiplied by 123.03.how is magnitude affected? Round your answer to two decimal places if necessary.
​

Accepted Answer

A)  Magnitude is decreased by 2.09. 
B)  Magnitude is increased by 5.23. 
C)  Magnitude is increased by 2.09. 
D)  Magnitude is decreased by 5.23. 
A)  Magnitude is decreased by 2.09. 
B)  Magnitude is increased by 5.23. 
C)  Magnitude is increased by 2.09. 
D)  Magnitude is decreased by 5.23.

Question 11

The inverse of   is ​

Accepted Answer

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

Question 12

The solution for ​t of the equation   ​ is:
​

Accepted Answer

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

Question 13

The graph of the logarithm has a point of inflection.

Accepted Answer

A) True 
 B)False

Question 14

We use ln to denote the natural logarithm.What is the value of   ? Round your answer to two decimal places if necessary. ​

Accepted Answer

A)  6 
B)  2.61 
C)  403.43 
D)  2.82 
A)  6 
B)  2.61 
C)  403.43 
D)  2.82

Question 15

We use ln to denote the natural logarithm.The solution for t of the equation   is: ​

Accepted Answer

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

Question 16

The Richter scale is a logarithmic scale.

Accepted Answer

A) True 
 B)False

Question 17

The magnitude of earthquake 1 is 8.6.Earthquake 2 is half as intense as earthquake 1.What is the magnitude of earthquake 2? Round your answer to 1 decimal place. ​

Accepted Answer

A)  7.7 
B)  8.3 
C)  4.3 
D)  5.1 
A)  7.7 
B)  8.3 
C)  4.3 
D)  5.1

Question 18

The inverse of a logarithm is an exponential function.

Accepted Answer

A) True 
 B)False

Question 19

The magnitude M of a star is a measure of its brightness, and it is related to the relative intensity I of light reaching Earth from the star.The relationship is   . Express relative intensity as a function of magnitude.
​

Accepted Answer

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

Question 20

The magnitude of earthquake 1 is 5.4.If earthquake 2 is 14.13 times as intense as earthquake 1, find the magnitude of earthquake 2.Round your answer to 1 decimal place. ​

Accepted Answer

A)  6.6 
B)  4.3 
C)  19.5 
D)  7.3 
A)  6.6 
B)  4.3 
C)  19.5 
D)  7.3

Exam 20: Logarithmic Functions

The solution for t of the equation is: ​

The decibel level D, a measure of loudness, is related to the relative intensity I of sound by the formula . ​ Express relative intensity as a function of decibels. ​

We use ln to denote the natural logarithm.The solution for t of the equation is: ​

The magnitude of earthquake 1 is 5.5.If earthquake 2 is 1,000 times as intense as earthquake 1, then the magnitude of earthquake 2 is (rounded to one decimal place if necessary) ​

The inverse of is ​

The decibel, a measure of loudness, is related to the relative intensity of sound by the formula Decibels (Relative intensity). A whisper in a library is about 34 decibels.What decibel level is produced by 12 people whispering in the library? Round your answer to the nearest whole number. ​

The logarithm is the inverse of an exponential function.

If is 4.19, then the value of is (rounded to two decimal places if necessary) ​

The decibel scale is a logarithmic scale.

The inverse of is ​

The solution for ​t of the equation ​ is: ​

The graph of the logarithm has a point of inflection.

We use ln to denote the natural logarithm.What is the value of ? Round your answer to two decimal places if necessary. ​

We use ln to denote the natural logarithm.The solution for t of the equation is: ​

The Richter scale is a logarithmic scale.

The magnitude of earthquake 1 is 8.6.Earthquake 2 is half as intense as earthquake 1.What is the magnitude of earthquake 2? Round your answer to 1 decimal place. ​

The inverse of a logarithm is an exponential function.

The magnitude M of a star is a measure of its brightness, and it is related to the relative intensity I of light reaching Earth from the star.The relationship is . Express relative intensity as a function of magnitude. ​

The magnitude of earthquake 1 is 5.4.If earthquake 2 is 14.13 times as intense as earthquake 1, find the magnitude of earthquake 2.Round your answer to 1 decimal place. ​

Functions Given by Formulas

Functions Given by TableChas

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Table and Trends

Graphs

Solving Linear Equations

Solving Nonlinear Equations

Inequalities

Optimization

The Geometry of Lines

Linear Functions

Modeling Data with Linear Functions

Linear Regression

Systems of Equations

Exponential Growth and Decay

Constant Percentage Change

Modeling Exponential Data

Modeling Nearly Exponential Data

Logistic Functions

Power Functions

Modeling Data with Power Functions

Combining and Decomposing Functions

Quadratic Functions

Higher Degree Polynomials and Rational Functions

Velocity

Rates of Change for Other Functions

Estimating Rates of Change

Equations of Change Linear and Exponential Functions

Equations of Change Graphical Solutions

Filters

The solution for t of the equation is:

The decibel level D, a measure of loudness, is related to the relative intensity I of sound by the formula . Express relative intensity as a function of decibels.

We use ln to denote the natural logarithm.The solution for t of the equation is:

The magnitude of earthquake 1 is 5.5.If earthquake 2 is 1,000 times as intense as earthquake 1, then the magnitude of earthquake 2 is (rounded to one decimal place if necessary)

The inverse of is

The decibel, a measure of loudness, is related to the relative intensity of sound by the formula Decibels (Relative intensity). A whisper in a library is about 34 decibels.What decibel level is produced by 12 people whispering in the library? Round your answer to the nearest whole number.

If is 4.19, then the value of is (rounded to two decimal places if necessary)

The inverse of is

The solution for t of the equation is:

We use ln to denote the natural logarithm.What is the value of ? Round your answer to two decimal places if necessary.

We use ln to denote the natural logarithm.The solution for t of the equation is:

The magnitude of earthquake 1 is 8.6.Earthquake 2 is half as intense as earthquake 1.What is the magnitude of earthquake 2? Round your answer to 1 decimal place.

The magnitude M of a star is a measure of its brightness, and it is related to the relative intensity I of light reaching Earth from the star.The relationship is . Express relative intensity as a function of magnitude.

The magnitude of earthquake 1 is 5.4.If earthquake 2 is 14.13 times as intense as earthquake 1, find the magnitude of earthquake 2.Round your answer to 1 decimal place.