Rewrite the Given Expression as a Single Logarithm $5 \log _{q} q-\log _{q} r$

Multiple Choice

Rewrite the given expression as a single logarithm. Assume that all variables are defined in such a way that variable expressions are positive and bases are positive numbers not equal to 1 .
- $5 \log _{q} q-\log _{q} r$

A) $\log _{q} \frac{q^{5}}{r}$

B) $\log _{q} \frac{5 q}{r}$

C) $\log _{q}\left(q^{5}-r\right)$

D) $\log _{q} q^{5} \div \log _{a} r$