# Have fun(ction)!

**Algebra**Level 3

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

How many positive integer \(x\) satisfy the equation above?

**Tip**: Set your own function.

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

How many positive integer \(x\) satisfy the equation above?

**Tip**: Set your own function.

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