ln(x+5)-ln(x-1)=2

Solution for ln(x+5)-ln(x-1)=2 equation:

Simplifying
ln(x + 5) + -1ln(x + -1) = 2

Reorder the terms:
ln(5 + x) + -1ln(x + -1) = 2
(5 * ln + x * ln) + -1ln(x + -1) = 2
(5ln + lnx) + -1ln(x + -1) = 2

Reorder the terms:
5ln + lnx + -1ln(-1 + x) = 2
5ln + lnx + (-1 * -1ln + x * -1ln) = 2
5ln + lnx + (1ln + -1lnx) = 2

Reorder the terms:
5ln + 1ln + lnx + -1lnx = 2

Combine like terms: 5ln + 1ln = 6ln
6ln + lnx + -1lnx = 2

Combine like terms: lnx + -1lnx = 0
6ln + 0 = 2
6ln = 2

Solving
6ln = 2

Solving for variable 'l'.

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

Divide each side by '6n'.
l = 0.3333333333n-1

Simplifying
l = 0.3333333333n-1