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

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

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

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

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

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

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

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

Solving
1ln = 1 + -1ln

Solving for variable 'l'.

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

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

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

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

Divide each side by '2n'.
l = 0.5n-1

Simplifying
l = 0.5n-1