Use the Properties of Logarithms to Rewrite the Expression $$\log _ { 3 } \left( \frac { x ^ { 8 } y ^ { 4 } } { 6 } \right)$$

question 158

Multiple Choice

Use the properties of logarithms to rewrite the expression. Simplify the result if possible. Assume all variables represent
positive real numbers.
- $$\log _ { 3 } \left( \frac { x ^ { 8 } y ^ { 4 } } { 6 } \right)$$

• A) \(\left( 8 \log _ { 3 } x \right) \left( 4 \log _ { 3 } y \right) \div \log _ { 3 } 6\)
• B) \(8 \log _ { 3 } x + 4 \log _ { 3 } y - \log _ { 3 } 6\)
• C) \(8 \log _ { 3 } x + 4 \log _ { 3 } y + \log _ { 3 } 6\)
• D) \(\left( \log _ { 3 } x \right) ^ { 8 } + \left( \log _ { 3 } y \right) ^ { 4 } - \log _ { 3 } 6\)

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