Question

Equação exponencial 2.(1/4)^2x-3=4

Answer 1

$2.( \frac{1}{4})^{2x-3} = 4 \\ \\ 2.(2^{-2})^{2x-3} = 2^2 \\ \\ 2.2^{-4x + 6} = 2^2 \\ \\ 2^{1-4x + 6} = 2^2 \\ \\ 2 ^{7-4x} = 2^2 \\ \\ 7-4x = 2 \\ 4x = 7-2 \\ 4x = 5 \\ \\ x = \frac{5}{4}$