Answer
False
Work Step by Step
By the Power Rule: $\quad \log_{b}(M^{p})=p\cdot\log_{b}\mathrm{M}$
It follows that:
$\log_{4}(2x)^{3}=3\log_{4}(2x)$
In our case, the power is only on the $x$ term, so the statement is False.
Precalculus (6th Edition) Blitzer
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13446-914-3
ISBN 13:
978-0-13446-914-0
Chapter 3 - Section 3.3 - Properties of Logarithms - Exercise Set - Page 476: 91
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