Solve the given problem.
If $x=\ln 3$ and $y=\ln 2$, express $\ln 36$ in terms of $x$ and $y$.
\[
\ln 36=
\]
\(\boxed{\ln 36 = 2x + 2y}\)
Step 1 :Given that $x=\ln 3$ and $y=\ln 2$, we are asked to express $\ln 36$ in terms of $x$ and $y$.
Step 2 :We know that $36 = 2^2 * 3^2$. Therefore, we can express $\ln 36$ as $\ln (2^2 * 3^2)$.
Step 3 :Using the properties of logarithms, we can simplify this expression to $2\ln 2 + 2\ln 3$.
Step 4 :Since $x=\ln 3$ and $y=\ln 2$, we can substitute these values into the expression to get $2y + 2x$.
Step 5 :\(\boxed{\ln 36 = 2x + 2y}\)