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Use the Properties of Logarithms to Rewrite the Expression log2(x9y77)\log _ { 2 } \left( \frac { x ^ { 9 } y ^ { 7 } } { 7 } \right)

Question 366

Multiple Choice

Use the properties of logarithms to rewrite the expression. Simplify the result if possible. Assume all variables represent positive real numbers.
- log2(x9y77) \log _ { 2 } \left( \frac { x ^ { 9 } y ^ { 7 } } { 7 } \right)


A) 9log2x+7log2ylog279 \log _ { 2 } x + 7 \log 2 y - \log _ { 2 } 7
B) (9log2x) (7log2y) ÷log27\left( 9 \log _ { 2 } x \right) \left( 7 \log _ { 2 } y \right) \div \log _ { 2 } 7
C) (log2x) 9+(log2y) 7log27\left( \log _ { 2 } x \right) ^ { 9 } + \left( \log _ { 2 } y \right) ^ { 7 } - \log _ { 2 } 7
D) 9log2x+7log2y+log279 \log _ { 2 } x + 7 \log 2 y + \log _ { 2 } 7

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