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 $u$ and $\mathrm { v }$ without using the function $\ln$ .
$\ln \left( b ^ { 4 } \sqrt [ 3 ] { a } \right)$

A) $4 \mathrm { v } + \frac { \mathrm { u } } { 3 }$
B) $4 \mathrm { v } + \frac { \mathrm { u } } { 4 }$
C) $4 \mathrm { v } - \frac { \mathrm { u } } { 3 }$
D) $4 \mathrm { v } + 3 \mathrm { u }$