Use the Properties of Logarithms to Rewrite the Expression $$\log _ { 6 } \left( \frac { \sqrt { 11 } } { 10 } \right)$$

question 64

Multiple Choice

Use the properties of logarithms to rewrite the expression. Simplify the result if possible. Assume all variables represent
positive real numbers.
- $$\log _ { 6 } \left( \frac { \sqrt { 11 } } { 10 } \right)$$

• A) \(\log _ { 6 } \sqrt { 11 } + \log _ { 6 } 10\)
• B) \(\frac { 1 } { 2 } \log _ { 6 } 11 - \log _ { 6 } 10\)
• C) \(\frac { \frac { 1 } { 2 } \log _ { 6 } 11 } { \log _ { 6 } 10 }\)
• D) \(\sqrt { \log _ { 6 } 11 } - \log _ { 6 } 10\)

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