Write as the Sum And/or Difference of Logarithms $\log _ { 12 } \sqrt { \frac { \mathrm { rs } } { 13 } }$

Multiple Choice

Write as the sum and/or difference of logarithms. Express powers as factors.
- $\log _ { 12 } \sqrt { \frac { \mathrm { rs } } { 13 } }$

A) $\frac { 1 } { 2 } \log _ { 12 } \mathrm { rs } - \frac { 1 } { 2 } \log _ { 12 } 13$
B) $\frac { 1 } { 2 } \log _ { 12 } \mathrm { r } + \frac { 1 } { 2 } \log _ { 12 } \mathrm {~s} - \log _ { 12 } 13$
C) $\frac { 1 } { 2 } \log _ { 12 } \mathrm { r } \cdot \frac { 1 } { 2 } \log _ { 12 } \mathrm {~s} + \frac { 1 } { 2 } \log _ { 12 } 13$
D) $\frac { 1 } { 2 } \log _ { 12 } \mathrm { r } + \frac { 1 } { 2 } \log _ { 12 } \mathrm {~s} - \frac { 1 } { 2 } \log _ { 12 } 13$