Question

Find a formula for the inverse of the function.
y = ln(x + 5)
Please explain

Answer 1

this says
1) add 5
2) take the log

to undo that you will
1) exponentiate
2) subtract 5

it will look like
\[f^{-1}(x)=e^x-5\]

Answer 2

or if you prefer you can write
\[x=\ln(y+5)\] and solve for y, but the steps are the same
\[x=\ln(y+5)\]
\[e^x=y+5\]
\[e^x-5=y\]
\[f^{-1}(x)=e^x-5\]