Question

Find the inverse log5(x-10)

Answer 1

`f^(-1)(x)=5^x+10`

Explanation:

We have the following function:

`y=\log_5\left(x-10\right)`

To calculate the inverse, we must replace y by x and also x by y, and solve for y, like this:

`\begin{gathered} x=\log _5\left(y-10\right) \\ \\ 5^x=y-10 \\ \\ y=5^x+10 \\ \\ f^(-1)(x)=5^x+10 \end{gathered}`