Use the Properties of Logarithms to Expand the Expression as a Sum

question 158

Multiple Choice

Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms.(Assume all variables are positive.) $\log \sqrt [ 7 ] { \frac { x ^ { 2 } } { y ^ { 4 } } }$

• A) \(\frac { 2 } { 7 } \log x - \frac { 4 } { 7 } \log y\)
• B) \(\frac { 1 } { 14 } \log x + \frac { 1 } { 28 } \log y\)
• C) \(\frac { 7 } { 2 } \log x + \frac { 7 } { 4 } \log y\)
• D) \(14 \log x + 28 \log y\)
• E) \(\frac { 2 } { 7 } \log x + \frac { 4 } { 7 } \log y\)

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