f(x)=3xln(9x)-3x

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Solution for f(x)=3xln(9x)-3x equation:


Simplifying
f(x) = 3xln(9x) + -3x

Multiply f * x
fx = 3xln(9x) + -3x

Remove parenthesis around (9x)
fx = 3lnx * 9x + -3x

Reorder the terms for easier multiplication:
fx = 3 * 9lnx * x + -3x

Multiply 3 * 9
fx = 27lnx * x + -3x

Multiply lnx * x
fx = 27lnx2 + -3x

Solving
fx = 27lnx2 + -3x

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 27lnx + -3

Simplifying
f = 27lnx + -3

Reorder the terms:
f = -3 + 27lnx

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