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) $\ln \left( \frac { x ^ { 13 } } { 12 \left( x ^ { 2 } + 16 \right) } \right)$

Question

Quizplus · Accepted Answer

Use the property that $\ln A - \ln B = \ln \left( \frac { A } { B } \right)$ to rewrite the expression as $\ln \left( \frac { x ^ { 13 } } { \left( x ^ { 2 } + 16 \right) ^ { 12 } } \right)$.

Write the Following Expression as a Logarithm of a Single 13ln⁡x−12ln⁡(x2+16)13 \ln x - 12 \ln \left( x ^ { 2 } + 16 \right)13lnx−12ln(x2+16)

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