Question

conjunto solução da equação de (0,5)× = 4^(1×-3)

Answer 1

$\Large\boxed{\begin{array}{l}\sf0,5^x=4^{x-3}\\\\\sf \bigg(\dfrac{1}{2}\bigg)^x=4^{x-3}\\\\\sf (2^{-1})^x=(2^2)^{x-3}\\\sf 2^{-x}=2^{2x-6}\\\sf -x=2x-6\\\sf -x-2x=-6\\\sf -3x=-6\cdot(-1)\\\sf 3x=6\\\sf x=\dfrac{6}{3}\\\\\sf x=2\end{array}}$