Solve the Problem $\mathrm { u } = \ln \mathrm { a }$

question 419

Multiple Choice

Solve the problem.
-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 $\ln$ .
$\ln \left( \sqrt [ 5 ] { a b ^ { 6 } } \right)$

• A) \(\frac { u } { 5 } + \frac { 6 } { 5 } v\)
• B) \(\frac { \mathrm { u } } { 5 } - 6 \mathrm { v }\)
• C) \(\frac { u } { 5 } - \frac { 6 } { 5 } v\)
• D) \(\frac { 6 } { 5 } u + \frac { 6 } { 5 } v\)

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