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Express as a Single Logarithm ln⁡x2+4x−32x−3−ln⁡x2+5x−24x+3+ln⁡(x2−8x+16),x>0\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 103

Multiple Choice

Express as a single logarithm.
- ln⁡x2+4x−32x−3−ln⁡x2+5x−24x+3+ln⁡(x2−8x+16) ,x>0\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⁡3(x−4) 2(x−3) (x+3) \ln \frac { 3 ( x - 4 ) } { 2 ( x - 3 ) ( x + 3 ) }
B) ln⁡(x−4) 3(x−3) 2(x+3) \ln \frac { ( x - 4 ) ^ { 3 } } { ( x - 3 ) ^ { 2 } ( x + 3 ) }
C) ln⁡(x−4) 3(x+3) (x−3) 2\ln \frac { ( x - 4 ) ^ { 3 } ( x + 3 ) } { ( x - 3 ) ^ { 2 } }
D) ln⁡3(x−4) (x+3) 2(x−3) \ln \frac { 3 ( x - 4 ) ( x + 3 ) } { 2 ( x - 3 ) }

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