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.
- $\log _{n} \sqrt[3]{\frac{2 x^{6}}{z^{9}}}$

A) $\frac{1}{3} \log _{n} 2-2 \log _{n} x-3 \log _{n} z$
B) $\frac{1}{3} \log _{n} 2+6 \log _{n} x-9 \log _{n} z$
C) $\frac{1}{3} \log _{n} 2+2 \log _{n} x-3 \log _{n} z$
D) $\frac{1}{3} \log _{n} 2+2 \log _{n} x+3 \log _{n} z$