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Express as a Single Logarithm lnx2+4x32x3lnx2+5x24x+3+ln(x28x+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 401

Multiple Choice

Express as a single logarithm.
- lnx2+4x32x3lnx2+5x24x+3+ln(x28x+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) ln3(x4) 2(x3) (x+3) \ln \frac { 3 ( x - 4 ) } { 2 ( x - 3 ) ( x + 3 ) }

B) ln(x4) 3(x3) 2(x+3) \ln \frac { ( x - 4 ) ^ { 3 } } { ( x - 3 ) ^ { 2 } ( x + 3 ) }

C) ln(x4) 3(x+3) (x3) 2\ln \frac { ( x - 4 ) ^ { 3 } ( x + 3 ) } { ( x - 3 ) ^ { 2 } }

D) ln3(x4) (x+3) 2(x3) \ln \frac { 3 ( x - 4 ) ( x + 3 ) } { 2 ( x - 3 ) }

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