Discussion
Ln a/b=
Answer: C
The quotient rule turns a division into a subtraction:
\[ \ln\frac{a}{b} \;=\; \ln a - \ln b \]
It follows from the product rule. Writing \( a = \frac{a}{b}\cdot b \) gives \( \ln a = \ln\frac{a}{b} + \ln b \), and rearranging leaves the result.
Note what it is not: \( \ln\frac{a}{b} \) is not \( \frac{\ln a}{\ln b} \). That last expression is the change-of-base ratio, a different quantity altogether.
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