Answer
True.
Work Step by Step
Recognize 8 as a power of 2.
$8x^{3}=2^{3}x^{3}=(2x)^{3}.$
$\ln(8x^{3})=\ln(2x)^{3}$
Apply the Power Rule:
$\quad \log_{b}(M^{p})=p\cdot\log_{b}\mathrm{M}$
$=3\ln(2x)$
Thus the statement is True.
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: 92
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