# Section 4 -5 Logarithmic Functions

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Q 11Q 11

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

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Q 12Q 12

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

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Q 13Q 13

The magnitude of earthquake 1 is 4.5, and the magnitude of earthquake 2 is 6.5.How do their intensities compare?
A) Earthquake 1 is 100 times as intense as earthquake 2.
B) Earthquake 1 is 2 times as intense as earthquake 2.
C) Earthquake 2 is 2 times as intense as earthquake 1.
D) Earthquake 2 is 100 times as intense as earthquake 1.

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Q 14Q 14

The magnitude of earthquake 1 is 4.7, and the magnitude of earthquake 2 is 8.How do their intensities compare?
A) Earthquake 1 is 1,995.26 times as intense as earthquake 2.
B) Earthquake 1 is 3.3 times as intense as earthquake 2.
C) Earthquake 2 is 3.3 times as intense as earthquake 1.
D) Earthquake 2 is 1,995.26 times as intense as earthquake 1.

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Q 15Q 15

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

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Q 16Q 16

The magnitude M of an earthquake depends on the relative intensity I of the quake.The relationship is .
Express the relative intensity as a function of the magnitude.
A)
B)
C)
D)

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Q 19Q 19

If is 7.01, then the value of is (rounded to two decimal places if necessary)
A) 20.75
B) 9.97
C) 21.43
D) 10.14

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Q 20Q 20

If is 4.19, then the value of is (rounded to two decimal places if necessary)
A) 9.3
B) 7.35
C) 9.91
D) 6.41

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Q 21Q 21

The decibel, a measure of loudness, is related to the relative intensity of sound by the formula Decibels (Relative intensity).
If relative intensity is multiplied by 1,000, how are decibels affected?
A) Decibels are increased by 3.
B) Decibels are decreased by 3.
C) Decibels are increased by 30.
D) Decibels are decreased by 30.

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Q 22Q 22

The decibel, a measure of loudness, is related to the relative intensity of sound by the formula Decibels (Relative intensity).
If relative intensity is divided by 1,000, how are decibels affected?
A) Decibels are increased by 3.
B) Decibels are decreased by 3.
C) Decibels are increased by 30.
D) Decibels are decreased by 30.

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Q 23Q 23

The decibel, a measure of loudness, is related to the relative intensity of sound by the formula Decibels Relative intensity).
If relative intensity is multiplied by 104.71, how are decibels affected?
A) Decibels are increased by 20.2.
B) Decibels are decreased by 2.02.
C) Decibels are increased by 2.02.
D) Decibels are decreased by 20.2.

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Q 24Q 24

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

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Q 25Q 25

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.
A)
B)
C)
D)

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Q 26Q 26

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 100, how is magnitude affected?
A) Magnitude is decreased by 2.
B) Magnitude is increased by 5.
C) Magnitude is increased by 2.
D) Magnitude is decreased by 5.

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Q 27Q 27

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 divided by 100, how is magnitude affected?
A) Magnitude is decreased by 2.
B) Magnitude is increased by 5.
C) Magnitude is increased by 2.
D) Magnitude is decreased by 5.

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Q 28Q 28

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.
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.

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Q 29Q 29

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.
A)
B)
C)
D)

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Q 31Q 31

We use ln to denote the natural logarithm.The solution for t of the equation is:
A)
B)
C)
D)

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Q 33Q 33

We use ln to denote the natural logarithm.The solution for t of the equation is:
A)
B)
C)
D)

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Q 34Q 34

We use ln to denote the natural logarithm.What is the value of ? Round your answer to two decimal places if necessary.
A) 6
B) 2.61
C) 403.43
D) 2.82

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Q 35Q 35

We use ln to denote the natural logarithm.What is the value of ?
A) 5.92
B) 2.57
C) 372.41
D) 2.65

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Q 36Q 36

The graph of the logarithm is
A) Decreasing and concave down.
B) Decreasing and concave up.
C) Increasing and concave up.
D) Increasing and concave down.

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