Question

Função exponencial

( 1/3 )^2x-1 = 9^-2

Answer 1

Explicação passo a passo:

$({1\over3})^{2x-1}=9^{-2}\\ \\ 3^{-1(2x-1)}=(3^2)^{-2}\\ \\ 3^{-2x+1}=3^{-4}\\ \\ cancela~~base\\ \\ -2x+1=-4\\ \\ -2x=-4-1\\ \\ -2x=-5~~~\times(-1)\\ \\ 2x=5\\ \\ \fbox{ x={5\over2} }$