Use Properties of Logarithms to Evaluate the Expression $\mathrm { u } = \ln \mathrm { a }$

question 277

Multiple Choice

Use properties of logarithms to evaluate the expression.
-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 funct $\ln \left( \sqrt [ 5 ] { a b ^ { 4 } } \right)$

• A) \(\frac { \mathrm { u } } { 5 } + \frac { 4 } { 5 } \mathrm { v }\)
• B) \(\frac { \mathrm { u } } { 5 } - \frac { 4 } { 5 } \mathrm { v }\)
• C) \(\frac { 4 } { 5 } \mathrm { u } + \frac { 4 } { 5 } \mathrm { v }\)
• D) \(\frac { \mathrm { u } } { 5 } - 4 \mathrm { v }\) n ln.287)

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