f(x)=x-ln(3x)

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


Simplifying
f(x) = x + -1ln(3x)

Multiply f * x
fx = x + -1ln(3x)

Remove parenthesis around (3x)
fx = x + -1ln * 3x

Reorder the terms for easier multiplication:
fx = x + -1 * 3ln * x

Multiply -1 * 3
fx = x + -3ln * x

Multiply ln * x
fx = x + -3lnx

Reorder the terms:
fx = -3lnx + x

Solving
fx = -3lnx + x

Solving for variable 'f'.

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

Divide each side by 'x'.
f = -3ln + 1

Simplifying
f = -3ln + 1

Reorder the terms:
f = 1 + -3ln

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