Question

What is the inverse of `y= - log_5 (-x)` ?

Answer 1

`f^-1=-5^-x`

Explanation:

`y=-log_5(-x)`
Multiplying both side with the same number:
`=>-1*y=-1*-log_5(-x)`
`=>log_5(-x)=-y`
`=>5^(log_5(-x))=5^-y` (it is a rule of logarithm)
`=>-x=5^-y`
Multiplying both side with the same number:
`=>-1*-x=-1*5^-y`
`=>x=-5^-y`
`=>f^-1=-5^-x`