Answer
False
Work Step by Step
To prove: $\ln x+\ln (2x)=\ln (3x)$
Since, $\ln m+\ln n=\ln (mn)$
Thus, $\ln x+\ln (2x)=\ln (2x)(x)$ [L.H.S.]
Let us write the correct statement such as:
or, $\ln (2x^2)=\ln (3x)$
which is not true.
Hence, the given statement is false.