Express as a Single Logarithm $$\ln \frac { x ^ { 2 } + 4 x - 32 } { x - 3 } - \ln \frac { x ^ { 2 } + 5 x - 24 } { x + 3 } + \ln \left( x ^ { 2 } - 8 x + 16 \right) , \quad x > 0$$

question 401

Multiple Choice

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) \(\ln \frac { 3 ( x - 4 ) ( x + 3 ) } { 2 ( x - 3 ) }\)

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