Answer
True
Work Step by Step
To prove: $\ln (5x)+\ln 1=\ln (5x)$
Since, $\ln m+\ln n=\ln (mn)$
Thus, $\ln (5x)+\ln 1=\ln (5x)(1)$ [L.H.S.]
Let us write the correct statement such as:
or, $\ln (5x)=\ln (5x)$
which is true, that is both sides are equal.
Hence, the given statement is true.