Question

Qual a solução da equação 2^(x-3)=1/4?

Answer 1

$2^{x-3}~=~\frac{1}{4}\\\\\\2^{x-3}~=~\frac{1}{2^2}\\\\\\2^{x-3}~=~\left(\frac{1}{2}\right)^2\\\\\\2^{x-3}~=~\left(2\right)^{-2}$

$2\!\!\!\backslash^{x-3}~=~2\!\!\!\backslash^{-2}\\\\\\x-3~=~-2\\\\\\x~=~-2+3\\\\\\\boxed{x~=~1}$