Ln(x^2-4)-ln(x+2)=-ln(x-2)

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


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

Reorder the terms:
nL(-4 + x2) + -1ln(x + 2) = -1ln(x + -2)
(-4 * nL + x2 * nL) + -1ln(x + 2) = -1ln(x + -2)
(-4nL + nx2L) + -1ln(x + 2) = -1ln(x + -2)

Reorder the terms:
-4nL + nx2L + -1ln(2 + x) = -1ln(x + -2)
-4nL + nx2L + (2 * -1ln + x * -1ln) = -1ln(x + -2)
-4nL + nx2L + (-2ln + -1lnx) = -1ln(x + -2)

Reorder the terms:
-2ln + -1lnx + -4nL + nx2L = -1ln(x + -2)

Reorder the terms:
-2ln + -1lnx + -4nL + nx2L = -1ln(-2 + x)
-2ln + -1lnx + -4nL + nx2L = (-2 * -1ln + x * -1ln)
-2ln + -1lnx + -4nL + nx2L = (2ln + -1lnx)

Add 'lnx' to each side of the equation.
-2ln + -1lnx + -4nL + lnx + nx2L = 2ln + -1lnx + lnx

Reorder the terms:
-2ln + -1lnx + lnx + -4nL + nx2L = 2ln + -1lnx + lnx

Combine like terms: -1lnx + lnx = 0
-2ln + 0 + -4nL + nx2L = 2ln + -1lnx + lnx
-2ln + -4nL + nx2L = 2ln + -1lnx + lnx

Combine like terms: -1lnx + lnx = 0
-2ln + -4nL + nx2L = 2ln + 0
-2ln + -4nL + nx2L = 2ln

Solving
-2ln + -4nL + nx2L = 2ln

Solving for variable 'l'.

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

Add '-2ln' to each side of the equation.
-2ln + -4nL + -2ln + nx2L = 2ln + -2ln

Reorder the terms:
-2ln + -2ln + -4nL + nx2L = 2ln + -2ln

Combine like terms: -2ln + -2ln = -4ln
-4ln + -4nL + nx2L = 2ln + -2ln

Combine like terms: 2ln + -2ln = 0
-4ln + -4nL + nx2L = 0

Add '4nL' to each side of the equation.
-4ln + -4nL + 4nL + nx2L = 0 + 4nL

Combine like terms: -4nL + 4nL = 0
-4ln + 0 + nx2L = 0 + 4nL
-4ln + nx2L = 0 + 4nL
Remove the zero:
-4ln + nx2L = 4nL

Add '-1nx2L' to each side of the equation.
-4ln + nx2L + -1nx2L = 4nL + -1nx2L

Combine like terms: nx2L + -1nx2L = 0
-4ln + 0 = 4nL + -1nx2L
-4ln = 4nL + -1nx2L

Divide each side by '-4n'.
l = -1L + 0.25x2L

Simplifying
l = -1L + 0.25x2L

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