Question

Y=2log(x)-8find the inverse of this function

Answer 1

Replace the variable y with x and varaible with y.

`x=2\log (y)-8`

Simplify the equation for y.

`\begin{gathered} x=2\log y-8 \\ x+8=2\log y \\ \log y=(x+8)/(2) \\ y=10^{(x+8)/(2)} \end{gathered}`

So inverse of the function is,

`y=10^{(x+8)/(2)}`