Question

How do you find the inverse of `y = log (x/2)`?

Answer 1

`color(white)(xx)f^-1(x)=2xx10^x`

Explanation:

`color(white)(xx)y=log(x/2)`

`=>x/2=10^ycolor(white)(xxxxxxxxxxxx)` (logarithm definition)
`=>color(red)(2xx)x/2=color(red)(2xx)10^y`
`=>x=2xx10^y`

`f^-1(x)=2xx10^x`