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Algebra Level 3

2 ( x 2 3 x + 2 ) = ln [ ( 3 x 2 ) 2 + 1 x 4 + 1 ] 2({ x }^{ 2 }-3x+2)=\ln { \left[ \frac { { (3x-2) }^{ 2 }+1 }{ { x }^{ 4 }+1 } \right] }

How many positive integer x x satisfy the equation above?

Tip : Set your own function.

1 0 2 3 4

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