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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.) logx2y47\log \sqrt [ 7 ] { \frac { x ^ { 2 } } { y ^ { 4 } } }


A) 27logx47logy\frac { 2 } { 7 } \log x - \frac { 4 } { 7 } \log y
B) 114logx+128logy\frac { 1 } { 14 } \log x + \frac { 1 } { 28 } \log y
C) 72logx+74logy\frac { 7 } { 2 } \log x + \frac { 7 } { 4 } \log y
D) 14logx+28logy14 \log x + 28 \log y
E) 27logx+47logy\frac { 2 } { 7 } \log x + \frac { 4 } { 7 } \log y

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