Solve the Problem $u = \ln a$ And $v = \ln b$

Multiple Choice

Solve the problem.
-Let $u = \ln a$ and $v = \ln b$ . Write the following expression in terms of $u$ and $v$ without using the function $\ln$ .
$\ln \sqrt [ 3 ] { \frac { a ^ { 6 } } { b ^ { 9 } } }$

A) $18 u - 27 v$
B) $6 u - 9 v$
C) $2 u - 3 v$
D) $18 u + 27 v$