Evaluating Logarithmic Expressions Answers
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1
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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
2
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Which logarithmic equation is equivalent to 82 = 64?
A
2 = log Subscript 6 Baseline 64
B
2 = log Subscript 64 Baseline 8
C
8 = log Subscript 2 Baseline 64
D
64 = log Subscript 2 Baseline 8
3
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
4
What is the value of log 43? Use the calculator. Round your answer to the nearest tenth.
A
0.6B
1.6C
3.8D
4.75
What is the value of ?
A
–6B
–2C
2D
66
What is the value of ?
A
1B
2C
4D
87
Which equation is equivalent to ?
A
3 squared = left-bracket log Subscript 3 Baseline (x + 5) right-bracket cubed
B
2 cubed = left-bracket log Subscript 3 Baseline (x + 5) right-bracket squared
C
3 squared = x + 5
D
2 cubed = x + 5
8
What is the solution of ?
A
–18B
–2C
2D
109
What is the value of ?
A
–3B
Negative one-third
C
One-third
D
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