Answer
False.
A possible true statement is: $\ln(x\cdot 1)=\ln x+\ln 1$
Work Step by Step
Applying the product rule to the RHS,
$\ln x+\ln 1=\ln(x\cdot 1)\neq LHS $
So, the statement is False
We can obtain a true statement if we change the $+$ to $\cdot $ (on the LHS).