Respuesta :

Given

[tex]2^x=2^8[/tex]

Use the logarithmic function to solve for x, as shown below

[tex]\begin{gathered} \Rightarrow ln(2^x)=ln(2^8) \\ \Rightarrow xln(2)=8ln(2) \\ \Rightarrow x=8 \end{gathered}[/tex]

Thus, the answer is x=8