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.
- $\log _{19} \sqrt{\frac{m n}{3}}$

A) $\frac{1}{2} \log _{19} \mathrm{~m}+\frac{1}{2} \log _{19} \mathrm{n}-\frac{1}{2} \log _{19} 3$
B) $\frac{1}{2} \log _{19} \mathrm{mn}-\frac{1}{2} \log _{19} 3$
C) $\frac{1}{2} \log _{19} \mathrm{~m}+\frac{1}{2} \log _{19} \mathrm{n}-\log _{19} 3$
D) $\frac{1}{2} \log _{19} \mathrm{~m} \cdot \frac{1}{2} \log _{19} \mathrm{n} \div \frac{1}{2} \log _{19} 3$