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

Question 209

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.
- log511xy\log _{5} \frac{11 \sqrt{x}}{y}


A) log51112log5 m÷log5y\log _{5} 11 \cdot \frac{1}{2} \log _{5} \mathrm{~m} \div \log _{5} \mathrm{y}
B) log5ylog51112log5x\log _{5} y-\log _{5} 11-\frac{1}{2} \log _{5} x
C) log5(11x) log5y\log _{5}(11 \sqrt{x}) -\log _{5} y
D) log511+12log5xlog5y\log _{5} 11+\frac{1}{2} \log _{5} x-\log _{5} y

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