AnswersCR - Algebra 2 26-27 - S2Evaluating Logarithmic Expressions

Evaluating Logarithmic Expressions Answers

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What is the value of ?

Question illustration
A
2
B
3
C
4
D
5
2
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What is the value of ?

Question illustration
A
–3
B
Negative one-third
Option B
C
One-third
Option C
D
3
3

What is the value of log 43? Use the calculator. Round your answer to the nearest tenth.

A
0.6
B
1.6
C
3.8
D
4.7
4

A Cepheid star is a type of variable star, which means its brightness is not constant. The relationship between the brightness of a Cepheid star and its period, or length of its pulse, is given by M = –2.78(log P) – 1.35, where M is the absolute magnitude, or brightness, of the star, and P is the number of days required for the star to complete one cycle. What is the absolute magnitude of a star that has a period of 45 days? Use a calculator. Round your answer to the nearest hundredth.

A
–5.95
B
–4.60
C
3.25
D
4.60
5

The magnitude, M, of an earthquake is defined to be , where I is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and S is the intensity of a “standard” earthquake, which is barely detectable. Which equation represents the magnitude of an earthquake that is 10 times more intense than a standard earthquake?

Question illustration
A
M = log StartFraction I Over S EndFraction
Option A
B
M = log (10 S)
Option B
C
M = log StartFraction 10 S Over S EndFraction
Option C
D
M = log StartFraction 10 Over S EndFraction
Option D
6

What is the value of ?

Question illustration
A
–6
B
–2
C
2
D
6
7

What is the value of ?

Question illustration
A
Negative three-halves
Option A
B
Negative two-thirds
Option B
C
Two-thirds
Option C
D
Three-halves
Option D
8

What is the value of log 13? Use a calculator. Round your answer to the nearest tenth.

A
0.1
B
0.3
C
1.1
D
2.6
9

Which equation is equivalent to ?

Question illustration
A
2 Superscript x Baseline = 36
Option A
B
x squared = 36
Option B
C
36 Superscript x Baseline = 2
Option C
D
x squared = 36 squared
Option D
10

Which equation is equivalent to ?

Question illustration
A
3 squared = left-bracket log Subscript 3 Baseline (x + 5) right-bracket cubed
Option A
B
2 cubed = left-bracket log Subscript 3 Baseline (x + 5) right-bracket squared
Option B
C
3 squared = x + 5
Option C
D
2 cubed = x + 5
Option D

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