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

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) $2 \mathrm { u } - 7 \mathrm { v }$