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Write the Logarithmic Expression as a Single Logarithm with Coefficient 13[log(a2+8a)log(a+8)]\frac { 1 } { 3 } \left[ \log \left( a ^ { 2 } + 8 a \right) - \log ( a + 8 ) \right]

Question 18

Multiple Choice

Write the logarithmic expression as a single logarithm with coefficient 1, and simplify as much as
possible.
- 13[log(a2+8a) log(a+8) ]\frac { 1 } { 3 } \left[ \log \left( a ^ { 2 } + 8 a \right) - \log ( a + 8 ) \right]


A) loga2+a83\log \sqrt [ 3 ] { a ^ { 2 } + a - 8 }
B) log1/3(a2+a8) \log _ { 1 / 3 } \left( a ^ { 2 } + a - 8 \right)
C) loga3\log \sqrt [ 3 ] { a }
D) log(a3+8a2+64a) 1/3\log \left( a ^ { 3 } + 8 a ^ { 2 } + 64 a \right) ^ { 1 / 3 }

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