f(x)=3x*ln(3x)

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Solution for f(x)=3x*ln(3x) equation: 


Simplifying
f(x) = 3x * ln(3x)

Multiply f * x
fx = 3x * ln(3x)

Remove parenthesis around (3x)
fx = 3x * ln * 3x

Reorder the terms for easier multiplication:
fx = 3 * 3x * ln * x

Multiply 3 * 3
fx = 9x * ln * x

Multiply x * ln
fx = 9lnx * x

Multiply lnx * x
fx = 9lnx2

Solving
fx = 9lnx2

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 9lnx

Simplifying
f = 9lnx

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