Use the Properties of Logarithms to Expand $\frac { \sqrt { x } } { x - 11 }$

question 147

Multiple Choice

Use the properties of logarithms to expand $\frac { \sqrt { x } } { x - 11 }$ .

• A) \(\frac { 1 } { 2 } \ln x - \ln ( x - 11 )\)
• B) \(\ln \left( \frac { 1 } { 2 } x - \frac { x } { 11 } \right)\)
• C) \(\frac { ( \ln x ) ^ { 1 / 2 } } { \ln x - \ln 11 }\)
• D) \(( \ln x ) ^ { 1 / 2 } - \ln ( x - 11 )\)
• E) \(\frac { 1 } { 2 } \ln x \cdot ( \ln x - \ln 11 )\)

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