Answer to Question #262703 in Algebra for Christabel

Question #262703

If {9}^{-1 + 2\,x} == \frac{{81}^{2+x}}{{3}^{x}} find x

Expert's answer

"{9}^{-1 + 2\\,x} = \\frac{{81}^{2+x}}{{3}^{x}}"

"(3^2)^{-1 + 2\\,x} = (3^4)^{2+x}\\cdot3^{-x}"

"3^{-2+4x}=3^{8+4x-x}"

"-2+4x=8+3x"

"x=10"

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