Write the Following Expression as a Logarithm of a Single $13 \ln x - 12 \ln \left( x ^ { 2 } + 16 \right)$

Multiple Choice

Write the following expression as a logarithm of a single quantity. $13 \ln x - 12 \ln \left( x ^ { 2 } + 16 \right)$

A) $\ln \left( 13 x - 12 \left( x ^ { 2 } + 16 \right) \right)$
B) $\ln \left( \frac { x ^ { 13 } } { \left( x ^ { 2 } + 16 \right) ^ { 12 } } \right)$
C) $\ln \left( x ^ { 13 } \left( x ^ { 2 } + 16 \right) ^ { 12 } \right)$
D) $\ln \left( x ^ { 13 } - \left( x ^ { 2 } + 16 \right) ^ { 12 } \right)$
E) $\ln \left( \frac { x ^ { 13 } } { 12 \left( x ^ { 2 } + 16 \right) } \right)$