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Expand into Sums And/or Differences of Logarithms log(ab3c2)\log \left( \frac { \sqrt [ 3 ] { a b } } { c ^ { 2 } } \right)

Question 11

Multiple Choice

Expand into sums and/or differences of logarithms. Assume all variables represent positive real numbers. log(ab3c2) \log \left( \frac { \sqrt [ 3 ] { a b } } { c ^ { 2 } } \right)


A) 13loga+logb2logc\frac { 1 } { 3 } \log a + \log b - 2 \log c
B) 3loga+logb2logc3 \log a + \log b - 2 \log c
C) 13loga+13logb2logc\frac { 1 } { 3 } \log a + \frac { 1 } { 3 } \log b - 2 \log c
D) loga+logb3+2logc\sqrt [ 3 ] { \log a + \log b } + 2 \log c

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