Use the Properties of Logarithms to Condense $\frac { 1 } { 2 } \log _ { 5 } ( x + 5 ) - \log _ { 5 } ( x - 6 )$

question 137

Multiple Choice

Use the properties of logarithms to condense $\frac { 1 } { 2 } \log _ { 5 } ( x + 5 ) - \log _ { 5 } ( x - 6 )$ .

• A) \(\log _ { 5 } \frac { x + 5 } { 2 ( x - 6 ) }\)
• B) \(\log _ { 5 } ( \sqrt { x + 5 } - x + 6 )\)
• C) \(\log _ { 5 } \frac { \sqrt { x + 5 } } { x - 6 }\)
• D) \(\log _ { 5 } \sqrt { \frac { x + 5 } { x - 6 } }\)
• E) \(\log _ { 5 } \left( - \frac { 1 } { 2 } x + \frac { 17 } { 2 } \right)\)

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