Write as the Sum or Difference of Logarithms and Fully $\ln \sqrt [ 8 ] { \frac { e ^ { 7 } } { x ^ { 4 } + y } }$

Multiple Choice

Write as the sum or difference of logarithms and fully simplify, if possible. Assume the variable
represents a positive real number.
- $\ln \sqrt [ 8 ] { \frac { e ^ { 7 } } { x ^ { 4 } + y } }$

A) $\frac { 7 } { 8 } \ln e - \frac { 1 } { 8 } \ln \left( x ^ { 4 } + y \right)$
B) $\frac { 7 } { 8 } - \frac { 4 } { 8 } \ln x + \frac { 1 } { 8 } \ln y$
C) $\frac { 7 } { 8 } - \frac { 1 } { 8 } \ln \left( x ^ { 4 } + y \right)$
D) $\frac { 7 } { 8 } + \frac { 1 } { 8 } \ln \left( x ^ { 4 } + y \right)$