Question

How do you find the inverse of `f(x)=3^(x-1)-2`?

Answer 1

`x=2.096log(f(x)+2)+1`

Explanation:

`f(x)=3^(x-1)-2`
`f(x)+2=3^(x-1)`
taking log both sides
`log(f(x)+2)=log3^(x-1)`
`log(f(x)+2)=(x-1)*log3`
`x-1=log(f(x)+2)/log(3)`
`x=2.096log(f(x)+2)+1`