Answer
True.
Work Step by Step
The common logarithm has base 10, $\log 10^{x}=\log_{10}10^{x}=x $, so
$ x\cdot\log 10^{x}=x\cdot x=x^{2}$
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: 93
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