Answer
$x=\dfrac{1}{3}$
Work Step by Step
Expressing the terms on both sides of the equal sign in the same base to equate the exponents results to
\begin{array}{l}
64^x=4
\\\\
(4^3)^x=4
\\\\
4^{3x}=4^1
\\\\
3x=1
\\\\
x=\dfrac{1}{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 10 - Cumulative Review - Page 634: 46a
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