p(x)=ln(x^3+6x^2+63x+1)

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Solution for p(x)=ln(x^3+6x^2+63x+1) equation:


Simplifying
p(x) = ln(x3 + 6x2 + 63x + 1)

Multiply p * x
px = ln(x3 + 6x2 + 63x + 1)

Reorder the terms:
px = ln(1 + 63x + 6x2 + x3)
px = (1 * ln + 63x * ln + 6x2 * ln + x3 * ln)
px = (1ln + 63lnx + 6lnx2 + lnx3)

Solving
px = 1ln + 63lnx + 6lnx2 + lnx3

Solving for variable 'p'.

Move all terms containing p to the left, all other terms to the right.

Divide each side by 'x'.
p = lnx-1 + 63ln + 6lnx + lnx2

Simplifying
p = lnx-1 + 63ln + 6lnx + lnx2

Reorder the terms:
p = 63ln + lnx-1 + 6lnx + lnx2

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