Use the Properties of Logarithms to Rewrite the Expression $\log _ { 3 } \left( \frac { x ^ { 4 } y ^ { 5 } } { 6 } \right)$

question 142

Multiple Choice

Use the properties of logarithms to rewrite the expression. Simplify the result if possible. Assume all variables represent positive real numbers.
- $\log _ { 3 } \left( \frac { x ^ { 4 } y ^ { 5 } } { 6 } \right)$

• A) \(4 \log _ { 3 } x + 5 \log _ { 3 } y - \log _ { 3 } 6\)
• B) \(\left( \log _ { 3 } x \right) ^ { 4 } + \left( \log _ { 3 } y \right) ^ { 5 } - \log _ { 3 } 6\)
• C) \(\left( 4 \log _ { 3 } x \right) \left( 5 \log _ { 3 } y \right) \div \log _ { 3 } 6\)
• D) \(4 \log _ { 3 } x + 5 \log 3 y + \log _ { 3 } 6\)

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