Expand Assume That All Variables Represent Positive Real Numbers $\log _ { 11 } \left( \frac { 5 \sqrt { m } } { n } \right)$

Multiple Choice

Expand. Assume that all variables represent positive real numbers.
- $\log _ { 11 } \left( \frac { 5 \sqrt { m } } { n } \right)$

A) $\log _ { 11 } 5 \cdot \frac { 1 } { 2 } \log _ { 11 } \mathrm {~m} \div \log _ { 11 } \mathrm { n }$
B) $\log _ { 11 } ( 5 \sqrt { \mathrm { m } } ) - \log _ { 11 } \mathrm { n }$
C) $\log _ { 11 } n - \log _ { 11 } 5 - \frac { 1 } { 2 } \log _ { 11 } m$
D) $\log _ { 11 } 5 + \frac { 1 } { 2 } \log _ { 11 } \mathrm {~m} - \log _ { 11 } \mathrm { n }$