Question

How do you find the inverse of `f(x)=3^(x+2)`?

Answer 1

`f^-1(x)=log_3x-2`

Explanation:

`f(x)=3^(x+2)`
`=>y=3^(x+2)`
`=>x+2=log_3y`

Add `-2` to both sides:
`x+2-2=log_3y-2`
`=>x=log_3y-2`
`=>f^-1(x)=log_3x-2`