# Logs!!..But no wood..- part 2

Algebra Level 3

If $$\log _{ ab }{ a=4 }$$, then the value of

$$\log _{ ab }{ \left( \frac { \sqrt [ 3 ]{ a } }{ \sqrt { b } } \right) } =\frac { x }{ y }$$ where x and y are coprime integers. Find the value of $${ \left( x-y \right) }^{ 2 }$$

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