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

question 121

Multiple Choice

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) \(\frac { 7 } { 6 } \log b y - \frac { 1 } { 6 } \log b x\)

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