Properties of Logarithms Answers

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Which of the following is equivalent to log9w?

A
log9 + logw
B
log9 - logw
C
w(log9)
D
9(logw)
3

What is written as a single log?

Question illustration
A
log Subscript 5 Baseline 21
Option A
B
log Subscript 5 Baseline 26
Option B
C
log Subscript 5 Baseline 30
Option C
D
log Subscript 5 Baseline 56
Option D
4

Given and , what is ?

Question illustration
A
1.404
B
1.739
C
2.773
D
2.988
5

Which expression is equivalent to log18 – log(p + 2)?

A
log StartFraction p + 2 Over 18 EndFraction
Option A
B
log StartFraction 18 Over p + 2 EndFraction
Option B
C
log StartFraction 20 Over p EndFraction
Option C
D
log left-bracket 18 times (p + 2) right-bracket
Option D
6

What is written as a single logarithm?

Question illustration
A
log Subscript 3 Baseline 2 z
Option A
B
log Subscript 3 Baseline 2 z squared
Option B
C
log Subscript 3 Baseline StartFraction z squared Over 4 EndFraction
Option C
D
log Subscript 3 Baseline StartStartFraction 64 z squared Over StartFraction 81 OverOver 49 EndEndFraction
Option D
7

Which expression is equivalent to ?

Question illustration
A
4 log Subscript w Baseline StartFraction x squared Over 1296 EndFraction minus one-third log Subscript w Baseline (2 x + 8)
Option A
B
4 log Subscript w Baseline (x squared minus 6) minus one-third log Subscript w Baseline (x squared + 8)
Option B
C
4 log Subscript w Baseline (X squared minus 6) minus one-third log Subscript w Baseline (x squared + 8)
Option C
D
4 (log Subscript w Baseline x squared minus one-third log Subscript w Baseline (x squared + 8) minus 6)
Option D
8

Which expression is equivalent to ?

Question illustration
A
log Subscript c Baseline x squared minus log Subscript c Baseline 5 x minus 1
Option A
B
2 log Subscript c Baseline x minus (log Subscript c Baseline 5 + log Subscript c Baseline x) minus 1
Option B
C
log Subscript c Baseline (x squared minus 1) minus (log Subscript c Baseline 5 + log Subscript c Baseline x)
Option C
D
2 log Subscript c Baseline x minus log Subscript c Baseline 1 minus log Subscript c Baseline 5 + log Subscript c Baseline x
Option D
9

Which expression is equivalent to log18 – log(p + 2)?

A
log StartFraction p + 2 Over 18 EndFraction
Option A
B
log StartFraction 18 Over p + 2 EndFraction
Option B
C
log StartFraction 20 Over p EndFraction
Option C
D
log left-bracket 18 times (p + 2) right-bracket
Option D

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