Question

4^2x-1.2^4x=64 resposta tem que dar {1}

Answer 1

$4^{2x-1}.2^{4x}=64 \\ \\ (2^{2})^{2x-1}.2^{4x} = 2^{6}\\ \\ 2^{4x-2}.2^{4x}=2^{6} \\ \\ 2^{4x-2+4x}=2^{6} \\ \\ 2^{8x-2}=2^{6} \\ \\ 8x-2=6 \\ \\ 8x = 6 + 2 \\ \\ 8x = 8 \\ \\ x = \frac{8}{8} \\ \\ x = 1$

Espero ter ajudado.