Evaluating Logarithmic Expressions Answers
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1
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Which equation has x = –6 as the solution?
A
log Subscript x Baseline 36 = 2
B
log Subscript 3 Baseline (2 x minus 9) = 3
C
log Subscript 3 Baseline 216 = x
D
log Subscript 3 Baseline (negative 2 x minus 3) = 2
2
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What is the solution of ?
A
–18B
–2C
2D
103
What is the value of ?
A
2B
3C
4D
54
What is the value of log 13? Use a calculator. Round your answer to the nearest tenth.
A
0.1B
0.3C
1.1D
2.65
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?
A
M = log StartFraction I Over S EndFraction
B
M = log (10 S)
C
M = log StartFraction 10 S Over S EndFraction
D
M = log StartFraction 10 Over S EndFraction
6
What is the value of ?
A
1B
2C
4D
87
Which equation is equivalent to ?
A
2 Superscript x Baseline = 36
B
x squared = 36
C
36 Superscript x Baseline = 2
D
x squared = 36 squared
8
Which logarithmic equation is equivalent to 32 = 9?
A
2 = log Subscript 3 Baseline 9
B
2 = log Subscript 9 Baseline 3
C
3 = log Subscript 2 Baseline 9
D
3 = log Subscript 9 Baseline 2
9
What is the value of ?
A
–3B
Negative one-third
C
One-third
D
310
What is the solution of ?
A
4B
5C
15D
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