# Find how many solutions this ln polinomial equation has

#### transgalactic

$$2x^3lnx+x^2-4x+a=0$$
i thought of building a taylor series around 0 for ln
but ln(0) is undefined

??

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#### rootX

I would find how many max min it has then knowing the each max min position I can determine the number of solutions.
Take care of the x= 0 too.

"Find how many solutions this ln polinomial equation has"

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