## Algebra 2 Common Core

$x=-1$
Note that $81=3^4$ so the given equation is equivalent to: $3^{-2x+2}=3^4$ Using the rule $a^m=a^n\longrightarrow m=n$ gives: $-2x+2=4$ $-2x=2$ $x=\frac{2}{-2}$ $x=-1$ Check: $3^{-2*-1+2}=81$ $3^{2+2}=81$ $3^{4}=81$ $81=81$ Thus, the answer is correct.