Properties of Logarithms Answers
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1
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Which expression is equivalent to ?
A
4 log Subscript w Baseline StartFraction x squared Over 1296 EndFraction minus one-third log Subscript w Baseline (2 x + 8)
B
4 log Subscript w Baseline (x squared minus 6) minus one-third log Subscript w Baseline (x squared + 8)
C
4 log Subscript w Baseline (X squared minus 6) minus one-third log Subscript w Baseline (x squared + 8)
D
4 (log Subscript w Baseline x squared minus one-third log Subscript w Baseline (x squared + 8) minus 6)
2
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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
3
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
4
Given and , what is ?
A
1.404B
1.739C
2.773D
2.9885
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
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