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Expand into Sums And/or Differences of Logarithms log1/2(abc)\log _ { 1 / 2 } ( a b c )

Question 42

Multiple Choice

Expand into sums and/or differences of logarithms. Assume all variables represent positive real numbers. log1/2(abc) \log _ { 1 / 2 } ( a b c )


A) 12loga+12logb+12logc\frac { 1 } { 2 } \log a + \frac { 1 } { 2 } \log b + \frac { 1 } { 2 } \log c
B) (log1/2a) (log1/2b) (log1/2c) \left( \log _ { 1 / 2 } a \right) \left( \log _ { 1 / 2 } b \right) \left( \log _ { 1 / 2 } c \right)
C) log1/2alog1/2blog1/2c\log _ { 1 / 2 } a - \log _ { 1 / 2 } b - \log _ { 1 / 2 } c
D) log1/2a+log1/2b+log1/2c\log _ { 1 / 2 } a + \log _ { 1 / 2 } b + \log _ { 1 / 2 } c

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