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

Solve. Express your answer to the nearest thousandth, if necessary.-example-1
User Antares
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1 Answer

28 votes
28 votes

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

User Mynameiscoffey
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