Answer
$-4$
Work Step by Step
Rewrite using definition of logarithm.
$3^x=\frac{1}{81}$
Rewrite to powers of 3.
$3^x=3^{-4}$
$a^b=a^c$ means $b$ and $c$ are equivalent.
$x=-4$
College Algebra (11th Edition)
by Lial, Margaret L.; Hornsby John; Schneider, David I.; Daniels, Callie
Published by
Pearson
ISBN 10:
0321671791
ISBN 13:
978-0-32167-179-0
Chapter 4 - Section 4.3 - Logarithmic Functions - 4.3 Exercises - Page 422: 14
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