Question

what is the inverse of 3^x-2

Answer 1

\(3^{x-2}\) or \(3^x-2\)?

Answer 2

the 1st

Answer 3

Ok, let y be \(3^{x-2}\). So to find inverse, switch x and y to each other then isolate y.
Got it?

\(x = 3^{y-2}\)
Take \(\log_3\) of both sides.
\(\log_3 x = y-2\)
\(\boxed{\log_3 x + 2} = y\)

Answer 4

@kman1357