Question

determine o conjunto solução da equação exponencial 2^(4x-2)/2^(3x+5)=1/2

Answer 1

$\frac{2^{4x-2}}{2^{3x+5}}=\frac{1}{2}\\\\2^{(4x-2)-(3x+5)}=2^{-1}\\\\2^{x-7}=2^{-1}\\\\x-7=-1\\\\x=-1+7\\\\x=6$