Answer
$x=\frac{-3}{2}$
Work Step by Step
We know that if $a\gt0,a\ne1$, then $a^b=a^c\longrightarrow b=c$
$\frac{1}{27}=3^{-3}, 9^x=(3^2)^x=3^{2x}$
Thus here: $2x=-3\\x=\frac{-3}{2}$
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 9 - Review Exercises - Page 751: 68
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