How do you solve 8^{3x}=154?

1 Answer

x={\log154}/{\log512}

Explanation:

8^{3x}=154

(2^3)^{3x}=154

2^{9x}=154

\log2^{9x}=\log154

9x\log2=\log154

x={\log154}/{9\log2}

x={\log154}/{\log2^9}

x={\log154}/{\log512}