Rewrite the Given Expression as a Single Logarithm $4 \log _{c} q-\frac{2}{5} \log _{c} r+\frac{1}{6} \log _{c} f-6 \log _{c} p$

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 .
- $4 \log _{c} q-\frac{2}{5} \log _{c} r+\frac{1}{6} \log _{c} f-6 \log _{c} p$

A) $\log _{c} \frac{q^{4} r^{2 / 5}}{f^{1 / 6} p^{6}}$

B) $\log _{c} \frac{q^{4} f^{1 / 6}}{r^{2 / 5} p^{6}}$

C) $\log _{c}\left(4 q-\frac{2}{5} r+\frac{1}{6} f-6 p\right)$

D) $\log _{c} \frac{q^{4} p^{6}}{f^{1 / 6} r^{2 / 5}}$