AnswersFL-1200330-Algebra 2 CREvaluating Logarithmic Expressions

Evaluating Logarithmic Expressions Answers

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1
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What is the value of ?

Question illustration
A
1
B
2
C
4
D
8
2
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Which logarithmic equation is equivalent to 32 = 9?

A
2 = log Subscript 3 Baseline 9
Option A
B
2 = log Subscript 9 Baseline 3
Option B
C
3 = log Subscript 2 Baseline 9
Option C
D
3 = log Subscript 9 Baseline 2
Option D
3

Which logarithmic equation is equivalent to 82 = 64?

A
2 = log Subscript 6 Baseline 64
Option A
B
2 = log Subscript 64 Baseline 8
Option B
C
8 = log Subscript 2 Baseline 64
Option C
D
64 = log Subscript 2 Baseline 8
Option D
4

What is the solution of ?

Question illustration
A
4
B
5
C
15
D
20
5

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
6

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
7

What is the value of ?

Question illustration
A
–3
B
Negative one-third
Option B
C
One-third
Option C
D
3
8

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
9

What is the solution of ?

Question illustration
A
–18
B
–2
C
2
D
10
10

Which equation has x = –6 as the solution?

A
log Subscript x Baseline 36 = 2
Option A
B
log Subscript 3 Baseline (2 x minus 9) = 3
Option B
C
log Subscript 3 Baseline 216 = x
Option C
D
log Subscript 3 Baseline (negative 2 x minus 3) = 2
Option D
11

What is the solution of ?

Question illustration
A
4
B
5
C
15
D
20
12

Which logarithmic equation is equivalent to 32 = 9?

A
2 = log Subscript 3 Baseline 9
Option A
B
2 = log Subscript 9 Baseline 3
Option B
C
3 = log Subscript 2 Baseline 9
Option C
D
3 = log Subscript 9 Baseline 2
Option D
13

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
14

What is the value of ?

Question illustration
A
1
B
2
C
4
D
8

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