Answer
$x=\dfrac{3}{2}$
Work Step by Step
Expressing both sides of the equal sign with the same base so that the exponents can be equated, then,
\begin{array}{l}
9^x=27
\\
(3^2)^x=3^3
\\
3^{2x}=3^3
\\
2x=3
\\
x=\dfrac{3}{2}
.\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: 25b
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