Answer
False.
A possible true statement is: $ \ln x+\ln(2x)=\ln 2x^{2}$
Work Step by Step
Applying the product rule to the LHS,
$\ln(x)+\ln(2x)= \ln(x\cdot 2x)$
$=\ln(2x^{2})\neq $ RHS
Thus, 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: 96
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