[tex]\begin{gathered} 6^x=68 \\ Take\text{ logarithm of both sides } \\ \log 6^x=\log 68 \\ x\log 6=\log \text{ 68} \\ x\text{ = }\frac{\log68}{\log\text{ 6}} \\ x=\frac{1.8325}{0.7781} \\ x=2.35495 \\ \text{ x = 2.355 (3 decimsl places)} \end{gathered}[/tex]