## Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)

$\text{false}$
Recall the quotient rule for logarithms: $$\ln A-\ln B=\ln \frac{A}{B}$$ This means that $$\ln (x+3)-\ln (2 x)=\ln \left(\frac{x+3}{2 x}\right)$$ Therefore, the given statement must be false.