College Algebra (10th Edition)

$x=-1$
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: $-1 = x$