Question

Y=5 ^x+4find the inverse of this function

Answer 1

Replace the variable y with x and x with y.

`x=5^(y+4)`

Simplify the equation for y.

`\begin{gathered} \ln (x)=\ln (5^(y+4)) \\ \ln x=(y+4)\ln 5 \\ y+4=(\ln x)/(\ln 5) \\ y=(\ln x)/(\ln 5)-4 \end{gathered}`

So inverse for the function is,

`y=(\ln x)/(\ln5)-4`