Answer
$r$
Work Step by Step
We have $\log a^{m}=m \log a$, hence
\begin{align*}\log _{a}{a^r}&=r\log _{a}{a} \\
&=r \times 1 \quad\left(\text{since} \log _{a} a=1\right)\\
&=r\end{align*}
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 4 - Exponential and Logarithmic Functions - Section 4.5 Properties of Logarithms - 4.5 Assess Your Understanding - Page 331: 4
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