Explanation:
[tex]\begin{gathered} 2^{x+8}\text{ = 3}^{2x\text{ -1}} \\ log2^{x+8}\text{ = log3}^{2x-1} \\ x+8(\log_2)\text{ = \lparen2x-1\rparen\lparen log3\rparen} \\ \frac{x+8}{2x-1}=1.585 \\ x+8\text{ = 3.16992x -1.585} \\ 9.58496=\text{ 2.16992x} \\ 4.41719\text{ = x} \end{gathered}[/tex]
Answer: x = 4.417
