Answer
$x=-1$
Work Step by Step
Expressing both sides of the equation in the same base to equate the exponents, then,
\begin{array}{l}
8^{x-1}=\dfrac{1}{64}
\\\\
8^{x-1}=\dfrac{1}{8^2}
\\\\
8^{x-1}=8^{-2}
\\\\
x-1=-2
\\\\
x=-1
.\end{array}
Intermediate Algebra (6th Edition)
by Martin-Gay, Elayn
Published by
Pearson
ISBN 10:
0321785045
ISBN 13:
978-0-32178-504-6
Chapter 9 - Test - Page 599: 17
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