Properties of Logarithms Answers
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1
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Which expression is equivalent to ?
A
log Subscript 8 Baseline 4 + log Subscript 8 Baseline a minus log Subscript 8 Baseline (b minus 4) minus 4 log Subscript 8 Baseline c
B
log Subscript 8 Baseline 4 + log Subscript 8 Baseline a + (log Subscript 8 Baseline (b minus 4) minus 4 log Subscript 8 Baseline c)
C
log Subscript 8 Baseline 4 a + log Subscript 8 Baseline b minus 4 minus 4 log Subscript 8 Baseline c minus 4
D
log Subscript 8 Baseline 4 + log Subscript 8 Baseline a minus log Subscript 8 Baseline (b minus 4) minus log Subscript 8 Baseline 4 c
2
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What is written as a single logarithm?
A
log Subscript 5 Baseline (25 x Superscript 5 Baseline) RootIndex 3 StartRoot x squared + 6 EndRot
B
log Subscript 5 Baseline (25 x Superscript 6 Baseline) RootIndex 3 StartRoot x squared + 6 EndRoot
C
log Subscript 5 Baseline 25 x Superscript 5 Baseline + log Subscript 5 Baseline 2 + log one-third x squared
D
(log Subscript 5 Baseline 25 + log Subscript 5 Baseline Superscript 6 Baseline) (log Subscript 5 Baseline RootIndex 3 StartRoot x squared + 6 EndRoot)
3
Which expression is equivalent to ?
A
log Subscript 12 Baseline 8 minus log Subscript 12 Baseline one-half + log Subscript 12 Baseline w
B
log Subscript 12 Baseline one-half minus (log Subscript 12 Baseline 8 + log Subscript 12 Baseline w)
C
log Subscript 12 Baseline one-half minus log Subscript 12 Baseline 8 + log Subscript 12 Baseline w
D
log Subscript 12 Baseline one-half divided by log Subscript 12 Baseline 8 + log Subscript 12 Baseline w
4
Which expression is equivalent to ?
A
log Subscript c Baseline x squared minus log Subscript c Baseline 5 x minus 1
B
2 log Subscript c Baseline x minus (log Subscript c Baseline 5 + log Subscript c Baseline x) minus 1
C
log Subscript c Baseline (x squared minus 1) minus (log Subscript c Baseline 5 + log Subscript c Baseline x)
D
2 log Subscript c Baseline x minus log Subscript c Baseline 1 minus log Subscript c Baseline 5 + log Subscript c Baseline x
5
Which of the following is equivalent to log9w?
A
log9 + logwB
log9 - logwC
w(log9)D
9(logw)6
Given and , what is ?
A
1.404B
1.739C
2.773D
2.9887
Which of the following is equivalent to ?
A
log one-ninth minus log k
B
log 1 minus log StartFraction 9 Over k EndFraction
C
log one-ninth minus k
D
log one-ninth + log k
8
What is written as a single logarithm?
A
log Subscript 3 Baseline 2 z
B
log Subscript 3 Baseline 2 z squared
C
log Subscript 3 Baseline StartFraction z squared Over 4 EndFraction
D
log Subscript 3 Baseline StartStartFraction 64 z squared Over StartFraction 81 OverOver 49 EndEndFraction
9
Which expression is equivalent to log18 – log(p + 2)?
A
log StartFraction p + 2 Over 18 EndFraction
B
log StartFraction 18 Over p + 2 EndFraction
C
log StartFraction 20 Over p EndFraction
D
log left-bracket 18 times (p + 2) right-bracket
10
What is written as a single log?
A
log Subscript 5 Baseline 21
B
log Subscript 5 Baseline 26
C
log Subscript 5 Baseline 30
D
log Subscript 5 Baseline 56
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