Express the Given Logarithm as a Sum And/or Difference of Logarithms

Multiple Choice

Express the given logarithm as a sum and/or difference of logarithms. Simplify, if possible. Assume that all variables represent positive real numbers.
- $\log _{3} \frac{\sqrt[4]{\mathrm{m}} \sqrt[5]{\mathrm{n}}}{\mathrm{k}^{2}}$

A) $\frac{4}{3} \log _{3} m+\frac{5}{3} \log _{3} n-\frac{2}{3} \log _{3} k$
B) $4 \log _{3} m+5 \log _{3} n-2 \log _{3} k$
C) $\frac{1}{4} \log _{3} \mathrm{~m}+\frac{1}{5} \log _{3} \mathrm{n}-2 \log _{3} \mathrm{k}$
D) $\frac{1}{4} \log _{3} m \cdot \frac{1}{5} \log _{3} n \div 2 \log _{3} k$