Answer
$x=3$
Work Step by Step
We know that by definition then $\log_a {y}=x$, then $y=a^x$.
Hence, if $\log_4 {(64)}=x$, then
$4^x=64\\
4^x=4^3$
Using the rule $a^x=a^y\longrightarrow x=y$ gives $x=3$.
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 - 5.4 Logarithmic Functions - 5.4 Assess Your Understanding - Page 296: 97
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