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Express the Given Logarithm as a Sum And/or Difference of Logarithms

Question 236

Multiple Choice

Express the given logarithm as a sum and/or difference of logarithms. Simplify, if possible. Assume that all variables represent positive real numbers.
- log5x2y79\log _{5} \frac{x^{2} y^{7}}{9}


A) (2log5x) (7log5y) log59\left(2 \log _{5} \mathrm{x}\right) \left(7 \log _{5} \mathrm{y}\right) -\log _{5} 9
B) 2log5x+7log5ylog592 \log _{5} \mathrm{x}+7 \log _{5} \mathrm{y}-\log _{5} 9
C) 2log5x+7log5y+log592 \log _{5} \mathrm{x}+7 \log _{5} \mathrm{y}+\log _{5} 9
D) 2log5x7log5ylog592 \log _{5} \mathrm{x}-7 \log _{5} \mathrm{y}-\log _{5} 9

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