Let $\mathrm { u } = \ln \mathrm { a }$

Multiple Choice

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 $\ln$ . $\ln \left( \sqrt [ 3 ] { a b ^ { 4 } } \right)$

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