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Write as the Sum And/or Difference of Logarithms ln((x+5)(x2)(x8)4)4/3,x>2\ln \left( \frac { ( x + 5 ) ( x - 2 ) } { ( x - 8 ) ^ { 4 } } \right) ^ { 4 / 3 } , \quad x > 2

Question 246

Multiple Choice

Write as the sum and/or difference of logarithms. Express powers as factors.
- ln((x+5) (x2) (x8) 4) 4/3,x>2\ln \left( \frac { ( x + 5 ) ( x - 2 ) } { ( x - 8 ) ^ { 4 } } \right) ^ { 4 / 3 } , \quad x > 2


A) 4ln(x+5) 3ln(x2) 163ln(x8) 4 \ln ( x + 5 ) - 3 \ln ( x - 2 ) - \frac { 16 } { 3 } \ln ( x - 8 )
B) 43ln(x2+7x10) 163ln(x8) \frac { 4 } { 3 } \ln \left( x ^ { 2 } + 7 x - 10 \right) - \frac { 16 } { 3 } \ln ( x - 8 )
C) ln(x+5) +ln(x2) +ln416ln(x8) ln3\ln ( x + 5 ) + \ln ( x - 2 ) + \ln 4 - 16 \ln ( x - 8 ) - \ln 3
D) 43ln(x+5) +43ln(x2) 163ln(x8) \frac { 4 } { 3 } \ln ( x + 5 ) + \frac { 4 } { 3 } \ln ( x - 2 ) - \frac { 16 } { 3 } \ln ( x - 8 )

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