Use the Properties of Logarithms to Rewrite the Expression $\log _ { 2 } \left( \frac { x ^ { 9 } y ^ { 7 } } { 7 } \right)$

question 366

Multiple Choice

Use the properties of logarithms to rewrite the expression. Simplify the result if possible. Assume all variables represent positive real numbers.
- $\log _ { 2 } \left( \frac { x ^ { 9 } y ^ { 7 } } { 7 } \right)$

• A) \(9 \log _ { 2 } x + 7 \log 2 y - \log _ { 2 } 7\)
• B) \(\left( 9 \log _ { 2 } x \right) \left( 7 \log _ { 2 } y \right) \div \log _ { 2 } 7\)
• C) \(\left( \log _ { 2 } x \right) ^ { 9 } + \left( \log _ { 2 } y \right) ^ { 7 } - \log _ { 2 } 7\)
• D) \(9 \log _ { 2 } x + 7 \log 2 y + \log _ { 2 } 7\)