Express as a single logarithm.
-$$\ln \frac { x ^ { 2 } + 4 x - 32 } { x - 3 } - \ln \frac { x ^ { 2 } + 5 x - 24 } { x + 3 } + \ln \left( x ^ { 2 } - 8 x + 16 \right) , \quad x 0$$
A) $\ln \frac { 3 ( x - 4 ) } { 2 ( x - 3 ) ( x + 3 ) }$
B) $\ln \frac { ( x - 4 ) ^ { 3 } } { ( x - 3 ) ^ { 2 } ( x + 3 ) }$
C) $\ln \frac { ( x - 4 ) ^ { 3 } ( x + 3 ) } { ( x - 3 ) ^ { 2 } }$
D) $\ln \frac { 3 ( x - 4 ) ( x + 3 ) } { 2 ( x - 3 ) }$

Question

Express as a single logarithm.
-$$\ln \frac { x ^ { 2 } + 4 x - 32 } { x - 3 } - \ln \frac { x ^ { 2 } + 5 x - 24 } { x + 3 } + \ln \left( x ^ { 2 } - 8 x + 16 \right) , \quad x > 0$$
A) $\ln \frac { 3 ( x - 4 ) } { 2 ( x - 3 ) ( x + 3 ) }$
B) $\ln \frac { ( x - 4 ) ^ { 3 } } { ( x - 3 ) ^ { 2 } ( x + 3 ) }$
C) $\ln \frac { ( x - 4 ) ^ { 3 } ( x + 3 ) } { ( x - 3 ) ^ { 2 } }$
D) $\ln \frac { 3 ( x - 4 ) ( x + 3 ) } { 2 ( x - 3 ) }$

Quizplus · Accepted Answer

The Answer of Express as a single logarithm.
-$$\ln \frac { x ^ { 2 } + 4 x - 32 } { x - 3 } - \ln \frac { x ^ { 2 } + 5 x - 24 } { x + 3 } + \ln \left( x ^ { 2 } - 8 x + 16 \right) , \quad x > 0$$
A) $\ln \frac { 3 ( x - 4 ) } { 2 ( x - 3 ) ( x + 3 ) }$
B) $\ln \frac { ( x - 4 ) ^ { 3 } } { ( x - 3 ) ^ { 2 } ( x + 3 ) }$
C) $\ln \frac { ( x - 4 ) ^ { 3 } ( x + 3 ) } { ( x - 3 ) ^ { 2 } }$
D) $\ln \frac { 3 ( x - 4 ) ( x + 3 ) } { 2 ( x - 3 ) }$