ln(x^2-4)-ln(x-2)=1

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Solution for ln(x^2-4)-ln(x-2)=1 equation: 


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

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

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

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

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

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

Solving for variable 'l'.

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

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

Combine like terms: 1 + -1 = 0
-1 + -2ln + -1lnx + lnx2 = 0

The solution to this equation could not be determined.

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