Question

Equação exponencial: 3^x-3=810

Answer 1

$3^{x-3}=810~\Leftrightarrow~3^{x}\cdot \dfrac{1}{27}=810~\Leftrightarrow~3^x=810\cdot27~\Longrightarrow~x=\log_{3}810\cdot27\\\\~\Leftrightarrow~x=\log_{3}810+\log_{3}27~\Leftrightarrow~x=\log_{3}810+\log_{3}3^3\\\\\Leftrightarrow x=\log_{3}810+3\log_{3}3~\Leftrightarrow~x=\log_{3}810+3$