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Condense the Expression Below to the Logarithm of a Single 5[lnxln(x+2)ln(x2)]5 [ \ln x - \ln ( x + 2 ) - \ln ( x - 2 ) ]

Question 41

Multiple Choice

Condense the expression below to the logarithm of a single quantity.
5[lnxln(x+2) ln(x2) ]5 [ \ln x - \ln ( x + 2 ) - \ln ( x - 2 ) ]


A) ln(x5(x24) 5) \ln \left( x ^ { 5 } - \left( x ^ { 2 } - 4 \right) ^ { 5 } \right)
B) ln(x5(x+2) 5(x2) 5) \quad \ln \left( x ^ { 5 } - ( x + 2 ) ^ { 5 } - ( x - 2 ) ^ { 5 } \right)
C) lnx5x24\ln \frac { x ^ { 5 } } { x ^ { 2 } - 4 }
D) ln((xx24) 5) \ln \left( \left( \frac { x } { x ^ { 2 } - 4 } \right) ^ { 5 } \right)
E) lnx(x24) 5\quad \ln \frac { x } { \left( x ^ { 2 } - 4 \right) ^ { 5 } }

Correct Answer:

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