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

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


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

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

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

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

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

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

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

Reorder the terms:
fx = -3ln + 3lnx

Solving
fx = -3ln + 3lnx

Solving for variable 'f'.

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

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

Simplifying
f = -3lnx-1 + 3ln

Reorder the terms:
f = 3ln + -3lnx-1

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