Expand the Given Logarithmic Expression $\ln \left( x ^ { 7 / 4 } y ^ { 3 / 2 } \right)$

question 88

Multiple Choice

Expand the given logarithmic expression. Assume all variable expressions represent positive real numbers. $\ln \left( x ^ { 7 / 4 } y ^ { 3 / 2 } \right)$

• A) \(\frac { 21 } { 8 } \ln x y\)
• B) \(\frac { 21 } { 8 } \ln x \ln y\)
• C) \(x \ln \left( \frac { 7 } { 4 } \right) + y \ln \left( \frac { 3 } { 2 } \right)\)
• D) \(\frac { 3 } { 2 } \ln x + \frac { 7 } { 4 } \ln y\)
• E) \(\frac { 7 } { 4 } \ln x + \frac { 3 } { 2 } \ln y\)

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