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

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

therefore

the answer is

$x=\frac{\log2}{\log3}+1$