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

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


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

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

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

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

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

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

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

Solving for variable 'l'.

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

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

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

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

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

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

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

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

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

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

The solution to this equation could not be determined.

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