Question

4× = 512 Equação Exponencial.

Answer 1

${4}^{x} = 512 \\ \\ ln( {4}^{x} ) = ln(512) \\ x \: ln(4) = ln(512) \\ x \: ln( {2}^{2} ) = ln(512) \\ 2 \: (x \: ln(2)) = ln(512) \\ 2x \: ln(2) = ln(512) \\ x(2 \: ln(2)) = ln(512) \\ \\ x = \frac{ln(512)}{2 \: ln(2)}$