ln(1+y)-ln(y)=(x^3+1)-2ln(x-1)

Solution for ln(1+y)-ln(y)=(x^3+1)-2ln(x-1) equation:

Simplifying
ln(1 + y) + -1ln(y) = (x3 + 1) + -2ln(x + -1)
(1 * ln + y * ln) + -1ln(y) = (x3 + 1) + -2ln(x + -1)
(1ln + lny) + -1ln(y) = (x3 + 1) + -2ln(x + -1)

Multiply ln * y
1ln + lny + -1lny = (x3 + 1) + -2ln(x + -1)

Combine like terms: lny + -1lny = 0
1ln + 0 = (x3 + 1) + -2ln(x + -1)
1ln = (x3 + 1) + -2ln(x + -1)

Reorder the terms:
1ln = (1 + x3) + -2ln(x + -1)

Remove parenthesis around (1 + x3)
1ln = 1 + x3 + -2ln(x + -1)

Reorder the terms:
1ln = 1 + x3 + -2ln(-1 + x)
1ln = 1 + x3 + (-1 * -2ln + x * -2ln)
1ln = 1 + x3 + (2ln + -2lnx)

Reorder the terms:
1ln = 1 + 2ln + -2lnx + x3

Solving
1ln = 1 + 2ln + -2lnx + x3

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.
1ln + -2ln = 1 + 2ln + -2lnx + -2ln + x3

Combine like terms: 1ln + -2ln = -1ln
-1ln = 1 + 2ln + -2lnx + -2ln + x3

Reorder the terms:
-1ln = 1 + 2ln + -2ln + -2lnx + x3

Combine like terms: 2ln + -2ln = 0
-1ln = 1 + 0 + -2lnx + x3
-1ln = 1 + -2lnx + x3

Add '2lnx' to each side of the equation.
-1ln + 2lnx = 1 + -2lnx + 2lnx + x3

Combine like terms: -2lnx + 2lnx = 0
-1ln + 2lnx = 1 + 0 + x3
-1ln + 2lnx = 1 + x3

Reorder the terms:
-1 + -1ln + 2lnx + -1x3 = 1 + x3 + -1 + -1x3

Reorder the terms:
-1 + -1ln + 2lnx + -1x3 = 1 + -1 + x3 + -1x3

Combine like terms: 1 + -1 = 0
-1 + -1ln + 2lnx + -1x3 = 0 + x3 + -1x3
-1 + -1ln + 2lnx + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-1 + -1ln + 2lnx + -1x3 = 0

The solution to this equation could not be determined.