Answer
$x=-3$
Work Step by Step
Using the properties of logarithms, then,
\begin{array}{l}
\log_4 \dfrac{1}{64}=x
\\
\log_4 \dfrac{1}{4^3}=x
\\
\log_4 4^{-3}=x
\\
-3(\log_4 4)=x
\\
-3(1)=x
\\
x=-3
.\end{array}
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321785045
ISBN 13:
978-0-32178-504-6
Chapter 11 - Cumulative Review - Page 670: 26b
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