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

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


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

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

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

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

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

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

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

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

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

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

Add '-1lnx' to each side of the equation.
4ln + -1lnx + -1lnx + lnx2 = 2 + lnx + -1lnx

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

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

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

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

The solution to this equation could not be determined.

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