Question

Solve. Express your answer to the nearest thousandth, if necessary.

Answer 1

Step-by-step explanation:

`\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} \\ (x+8)/(2x-1)=1.585 \\ x+8\text{ = 3.16992x -1.585} \\ 9.58496=\text{ 2.16992x} \\ 4.41719\text{ = x} \end{gathered}`

Answer: x = 4.417