ln(x-2)-ln(x+2)=1

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


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

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

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

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

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

Combine like terms: lnx + -1lnx = 0
-4ln + 0 = 1
-4ln = 1

Solving
-4ln = 1

Solving for variable 'l'.

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

Divide each side by '-4n'.
l = -0.25n-1

Simplifying
l = -0.25n-1

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