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

question 65

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 $\ln$ .
$\ln \frac { a ^ { 7 } } { b ^ { 2 } }$

• A) \(7 u + 2 v\)
• B) \(u ^ { 7 } - v ^ { 2 }\)
• C) \(7 \mathrm { u } - 2 \mathrm { v }\)
• D) \(2 \mathrm { u } - 7 \mathrm { v }\)

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