Answer
$x=-1$
Work Step by Step
RECALL:
$\log_a{x}=y \longrightarrow a^y=x, a\gt0, a\ne1$
Use the rule above to obtain:
$\log_3{(3^x)}=-1 \longrightarrow 3^{-1}=3^x$
Use the rule "$a^m=a^n\longrightarrow m=n$" to obtain:
$-1 = x$
College Algebra (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0321979478
ISBN 13:
978-0-32197-947-6
Chapter 6 - Section 6.4 - Logarithmic Functions - 6.4 Assess Your Understanding - Page 450: 108
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