Use the Properties of Logarithms to Expand $\ln \sqrt { \frac { 2 x } { x - 6 } }$

question 114

Multiple Choice

Use the properties of logarithms to expand $\ln \sqrt { \frac { 2 x } { x - 6 } }$ .

• A) \(( \ln 2 + \ln x - \ln ( x - 6 ) ) ^ { 1 / 2 }\)
• B) \(\left( \frac { \ln 2 \cdot \ln x } { \ln x - \ln 6 } \right) ^ { 1 / 2 }\)
• C) \(\frac { 1 } { 2 } \left( \ln 2 + \ln x - \frac { \ln x } { \ln 6 } \right)\)
• D) \(\frac { 1 } { 2 } ( \ln 2 + \ln x - \ln ( x - 6 ) )\)
• E) \(\frac { 1 } { 2 } \ln 2 + \ln x - \ln ( x - 6 )\)

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