Answer
$x=\dfrac{5}{3}$
Work Step by Step
Expressing the equation $
8^x=32
$ in the same base so that the exponents can be equated results to
\begin{array}{l}
(2^3)^x=2^5
\\
2^{3x}=2^5
\\
3x=5
\\
x=\dfrac{5}{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: 28b
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