Use the Properties of Logarithms to Rewrite the Expression $\log _ { 12 } \left( \frac { 17 \sqrt { \mathrm { m } } } { \mathrm { n } } \right)$

Multiple Choice

Use the properties of logarithms to rewrite the expression. Simplify the result if possible. Assume all variables represent positive real numbers.
- $\log _ { 12 } \left( \frac { 17 \sqrt { \mathrm { m } } } { \mathrm { n } } \right)$

A) $\log _ { 12 } n - \log _ { 12 } 17 - \frac { 1 } { 2 } \log _ { 12 } m$
B) $\log _ { 12 } 17 + \sqrt { \log _ { 12 } m } - \log _ { 12 } n$
C) $\log _ { 12 } 17 \cdot \left( \frac { 1 } { 2 } \log _ { 12 } m \right) \div \log _ { 12 } n$
D) $\log _ { 12 } 17 + \frac { 1 } { 2 } \log _ { 12 } m - \log _ { 12 } n$