Rewrite in Terms of Two or More Logarithms Using the Quotient

Multiple Choice

Rewrite in terms of two or more logarithms using the quotient and product rules for logarithms. Assume all variables represent positive real numbers.
- $\log _{13}\left(\frac{14 m}{n}\right)$

A) $\frac{\log _{ 13}14+\log _{ 13} m}{\log _{ 13} n}$

B) $\log _{ 13}14+\log _{ 13}m-\log _{ 13} n$

C) $(\log_{ 13}14) (\log _{ 13} m) -\log _{ 13} n$

D) $\log 1314-\log _{ 13} m-\log _{ 13} n$