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

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

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

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

Multiply ln * x
-4ln + lnx2 + lnx + -1ln(x + -2) = ln(x + 2) + 1

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

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

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

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

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

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

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

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

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

Combine like terms: 2ln + -2ln = 0
-4ln + lnx2 = 1 + 0 + lnx
-4ln + lnx2 = 1 + lnx

Add '-1lnx' to each side of the equation.
-4ln + -1lnx + lnx2 = 1 + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-4ln + -1lnx + lnx2 = 1 + 0
-4ln + -1lnx + lnx2 = 1

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

Combine like terms: 1 + -1 = 0
-1 + -4ln + -1lnx + lnx2 = 0

The solution to this equation could not be determined.