Let $\mathrm { u } = \ln \mathrm { a }$

question 244

Multiple Choice

Let $\mathrm { u } = \ln \mathrm { a }$ and $\mathrm { v } = \ln \mathrm { b }$ . Write the following expression in terms of $\mathrm { u }$ and $\mathrm { v }$ without using the function $\ln$ . $\ln \sqrt [ 3 ] { \frac { a ^ { 9 } } { b ^ { 4 } } }$

• A) \(27 \mathrm { u } + 12 \mathrm { v }\)
• B) \(27 u - 12 v\)
• C) \(3 u - \frac { 4 } { 3 } v\)
• D) \(9 u - 4 v\)

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