Answer
$3^{\log_3{(-5)}}\ne -5$ because $\log_a{x}$ is only defined when $x \gt0$.
Work Step by Step
We know that $\log_a{x}$ is only defined when $x\gt0$ , hence $\log_3{(-5)}$ is undefined.
Thus, $3^{\log_3{(-5)}}\ne-5$.
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 5 - Exponential and Logarithmic Functions - 5.5 Properties of Logarithms - 5.5 Assess Your Understanding - Page 306: 114
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