Use the Properties of Logarithms to Rewrite the Expression $\log _ { 5 } \left( \frac { 8 \sqrt { m } } { n } \right)$

question 373

Multiple Choice

Use the properties of logarithms to rewrite the expression. Simplify the result if possible. Assume all variables represent positive real numbers.
- $\log _ { 5 } \left( \frac { 8 \sqrt { m } } { n } \right)$

• A) \(\log _ { 5 } 8 + \frac { 1 } { 2 } \log _ { 5 } m - \log _ { 5 } n\)
• B) \(\log _ { 5 } 8 \cdot \left( \frac { 1 } { 2 } \log _ { 5 } m \right) \div \log _ { 5 } n\)
• C) \(\log _ { 5 } n - \log _ { 5 } 8 - \frac { 1 } { 2 } \log _ { 5 } m\)
• D) \(\log _ { 5 } 8 + \sqrt { \log _ { 5 } m } - \log _ { 5 } n\)

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