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Expand into a Sum And/or Difference of Logarithms of a and B

Question 131

Multiple Choice

Expand into a sum and/or difference of logarithms of a and b. Assume all variables represent positive real numbers. log8(a4b) \log _ { 8 } \left( \frac { a ^ { 4 } } { \sqrt { b } } \right)


A) 4log8a12log8b4 \log _ { 8 } a - \frac { 1 } { 2 } \log _ { 8 } b
B) log8a412log8b\frac { \log _ { 8 } a ^ { 4 } } { \frac { 1 } { 2 } \log _ { 8 } b }
C) log84a+log8b2\log _ { 8 } 4 a + \log _ { 8 } \frac { b } { 2 }
D) 4log8a+12log8b4 \log _ { 8 } a + \frac { 1 } { 2 } \log _ { 8 } b

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