Use Properties of Logarithms to Expand the Logarithmic Expression as Much

question 224

Multiple Choice

Use properties of logarithms to expand the logarithmic expression as much as possible.
- $\log _ { 7 } \frac { \sqrt [ 5 ] { x } \sqrt [ 8 ] { y } } { z ^ { 2 } }$

• A) \(\frac { 5 } { 7 } \log _ { 7 } x + \frac { 8 } { 7 } \log _ { 7 } y - \frac { 2 } { 7 } \log _ { 7 } z\)
• B) \(\frac { 1 } { 5 } \log _ { 7 } x + \frac { 1 } { 8 } \log _ { 7 } y - 2 \log _ { 7 } z\)
• C) \(\frac { 1 } { 5 } \log _ { 7 } x * \frac { 1 } { 8 } \log _ { 7 } y \div 2 \log _ { 7 } z\)
• D) \(5 \log _ { 7 } x + 8 \log _ { 7 } y - 2 \log _ { 7 } z\)

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