Write the logarithmic expression as a single logarithm with coefficient 1 , and simplify as much as possible. Assume that the variables represent positive real numbers.
\[
\ln y+\ln 5=\square
\]
\begin{tabular}{ccc}
\hline$ㅁ i n$ & $\square^{\square}$ & 믐 \\
$x$ & 5 \\
\hline
\end{tabular}
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Answer
The simplified logarithmic expression is \(\boxed{\ln (5y)}\).
Step 1 ：The given expression is \(\ln y + \ln 5\).
Step 2 ：From the properties of logarithms, the sum of two logarithms with the same base is equivalent to the logarithm of the product of the numbers.
Step 3 ：Therefore, we can simplify the given expression by combining the two logarithms into one, which would be \(\ln (y*5)\) or \(\ln (5y)\).
Step 4 ：The simplified logarithmic expression is \(\boxed{\ln (5y)}\).
