f(x)=x(ln^3x-3ln^2x+6lnx-6)

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Solution for f(x)=x(ln^3x-3ln^2x+6lnx-6) equation: 


Simplifying
f(x) = x(ln3x + -3ln2x + 6lnx + -6)

Multiply f * x
fx = x(ln3x + -3ln2x + 6lnx + -6)

Reorder the terms:
fx = x(-6 + 6lnx + -3ln2x + ln3x)
fx = (-6 * x + 6lnx * x + -3ln2x * x + ln3x * x)

Reorder the terms:
fx = (6lnx2 + -3ln2x2 + ln3x2 + -6x)
fx = (6lnx2 + -3ln2x2 + ln3x2 + -6x)

Solving
fx = 6lnx2 + -3ln2x2 + ln3x2 + -6x

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 6lnx + -3ln2x + ln3x + -6

Simplifying
f = 6lnx + -3ln2x + ln3x + -6

Reorder the terms:
f = -6 + 6lnx + -3ln2x + ln3x

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