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Solve for x:

$4\log _{ \frac { x }{ 2 } }{ \left( \sqrt { x } \right) } +\quad 2\log _{ 4x }{ \left( { x }^{ 2 } \right) } =\quad 3\log _{ 2x }{ \left( { x }^{ 3 } \right) }$

This question is a part of the set Sooo many logs!!

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