AnswersLAUSD-Algebra II B Prescriptive - SummerUnit Test

Evaluating Logarithmic Expressions Answers

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1
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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
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

What is the solution of ?

Question illustration
A
4
B
5
C
15
D
20
4

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
5

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
7

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.

–
–5.95
–
–4.60
3
3.25
4
4.60
8

Which equation has x = –6 as the solution?

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
10

What is the value of ?

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A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D

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