Express $\log b \left( x \sqrt [ 6 ] { \frac { x } { y } } \right)$

Express $\log b \left( x \sqrt [ 6 ] { \frac { x } { y } } \right)$ as the sum or difference of simpler logarithmic quantities. Assume that all variables represent positive real numbers.

A) $\frac { 7 } { 6 } \log b y + \frac { 1 } { 6 } \log b x$
B) $\frac { 7 } { 6 } \log _ { b } x - \frac { 1 } { 6 } \log b y$
C) $\frac { 7 } { 6 } \log b y - \frac { 1 } { 6 } \log b x$

Correct Answer:

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