Answer
$y=10^x+6$
Work Step by Step
To find the inverse of the given function, perform the following steps:
(1) Interchange $x$ and $y$:
$$x=\log{(y-6)}$$
(2) Write the equation in exponential form using the definition $y=\log_a{x} \longleftrightarrow a^y=x$:
$$10^x=y-6$$
(3) Solve for $y$:
\begin{align*}
10^x&=y-6\\\\
10^x+6&=y
\end{align*}
