Question

Solve the following exponential equation. Round your answer to three decimal places.6x=68x =

Answer 1

`\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=(1.8325)/(0.7781) \\ x=2.35495 \\ \text{ x = 2.355 (3 decimsl places)} \end{gathered}`