Question

Resolva a equação exponencial:
^ = elevado

A)  (0,5)^2x=2^1-3x

Answer 1

$(0,5)^{2x} = 2^{1-3x} \\ \\ (\frac{5}{10})^{2x} = 2^{1-3x} \\ \\ (\frac{1}{2})^{2x} = 2^{1-3x} \\ \\ \frac{ 1^{2x} }{ 2^{2x}} = \frac{ 2^{1} }{ 2^{3x} } \\ \\ \frac{ 1 }{ 2^{2x}} = \frac{ 2 }{ 2^{3x} } \\ \\ 2^{3x} = 2^{1} . 2^{3x} \\ \\ 2^{3x} = 2^{1+2x} \\ \\ 3x = 1+2x \\ \\ 3x-2x = 1 \\ \\ x = 1$