Answer
False.
A possible true statement:
$\displaystyle \log\frac{x+2}{x-1}=\log(x+2)-\log(x-1)$
Work Step by Step
Applying the quotient rule to the RHS,
$\displaystyle \log(x+2)-\log(x-1)=\log\frac{x+2}{x-1}\neq $ LHS
Thus, the statement is false.
