Question

Find the exact answer by using log 10() or In()

Answer 1

we have the equation

`3^((x-1))=2`

Solve for x

Apply log on both sides

`\log 3^((x-1))=\log 2`

Applying property of log

`\begin{gathered} (x-1)\cdot\log 3^{}=\log 2 \\ x-1=(\log 2)/(\log 3) \\ \\ x=(\log2)/(\log3)+1 \end{gathered}`

therefore

the answer is

`x=(\log2)/(\log3)+1`