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

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

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

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

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

Solving
-1 + 1ln = -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.
-1 + 1ln + ln = -1ln + ln

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

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

Add '1' to each side of the equation.
-1 + 1 + 2ln = 0 + 1

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

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

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

Simplifying
l = 0.5n-1