Answer
$-\frac{1}{3}$
Work Step by Step
As $\frac{1}{3}=3^{-1}$ and $9=3^2$, we have $3^{-x-1}=3^{2x}$, thus $2x=-x-1$, $3x=-1$ and $x=-\frac{1}{3}$
Precalculus (6th Edition)
by Lial, Margaret L.; Hornsby, John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
013421742X
ISBN 13:
978-0-13421-742-0
Chapter 4 - Inverse, Exponential, and Logarithmic Functions - Summary Exercises on Inverse, Exponential, and Logarithmic Functions - Exercises - Page 449: 43
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