# How do you solve ln(3x)=8.2?

$\textcolor{w h i t e}{\times} x = {e}^{8.2 - \ln 3}$
$\textcolor{w h i t e}{\times} \ln \left(3 x\right) = 8.2$
$\implies \ln 3 + \ln x = 8.2$
$\implies \ln 3 + \ln x - \textcolor{red}{\ln} 3 = 8.2 - \textcolor{red}{\ln} 3$
$\implies x = {e}^{8.2 - \ln 3}$