Provide an Appropriate Response $\log _ { \mathrm { a } } \left( \frac { \mathrm { rs } } { \mathrm { pv } } \right)$

Provide an appropriate response.
-The product, power, and quotient rules enable us to simplify expressions like $\log _ { \mathrm { a } } \left( \frac { \mathrm { rs } } { \mathrm { pv } } \right)$ . Explain why such expressions can always be simplified without using the quotient rule.