Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 9

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate
logarithmic expressions without using a calculator.
- $\log _ { 2 } \left( \frac { x ^ { 2 } } { y ^ { 7 } } \right)$

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

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