Question

What is the inverse of log (base 3) 2x?

Answer 1

Let
\(y=\log_3(2x)\)
Then
\(3^y=2x\)
\(x=\frac{1}{2}\cdot 3^y\)
Switch between \(x\) and \(y\) we have
\(y=\frac{1}{2}\cdot 3^x\) as the inverse function.