f(x)=lnx+ln(x-2)-ln(x^2-4)

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Solution for f(x)=lnx+ln(x-2)-ln(x^2-4) equation: 


Simplifying
f(x) = lnx + ln(x + -2) + -1ln(x2 + -4)

Multiply f * x
fx = lnx + ln(x + -2) + -1ln(x2 + -4)

Reorder the terms:
fx = lnx + ln(-2 + x) + -1ln(x2 + -4)
fx = lnx + (-2 * ln + x * ln) + -1ln(x2 + -4)
fx = lnx + (-2ln + lnx) + -1ln(x2 + -4)

Reorder the terms:
fx = lnx + -2ln + lnx + -1ln(-4 + x2)
fx = lnx + -2ln + lnx + (-4 * -1ln + x2 * -1ln)
fx = lnx + -2ln + lnx + (4ln + -1lnx2)

Reorder the terms:
fx = -2ln + 4ln + lnx + lnx + -1lnx2

Combine like terms: -2ln + 4ln = 2ln
fx = 2ln + lnx + lnx + -1lnx2

Combine like terms: lnx + lnx = 2lnx
fx = 2ln + 2lnx + -1lnx2

Solving
fx = 2ln + 2lnx + -1lnx2

Solving for variable 'f'.

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

Divide each side by 'x'.
f = 2lnx-1 + 2ln + -1lnx

Simplifying
f = 2lnx-1 + 2ln + -1lnx

Reorder the terms:
f = 2ln + 2lnx-1 + -1lnx

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