ln(x+13)-ln(x-1)=3

Solution for ln(x+13)-ln(x-1)=3 equation:

Simplifying
ln(x + 13) + -1ln(x + -1) = 3

Reorder the terms:
ln(13 + x) + -1ln(x + -1) = 3
(13 * ln + x * ln) + -1ln(x + -1) = 3
(13ln + lnx) + -1ln(x + -1) = 3

Reorder the terms:
13ln + lnx + -1ln(-1 + x) = 3
13ln + lnx + (-1 * -1ln + x * -1ln) = 3
13ln + lnx + (1ln + -1lnx) = 3

Reorder the terms:
13ln + 1ln + lnx + -1lnx = 3

Combine like terms: 13ln + 1ln = 14ln
14ln + lnx + -1lnx = 3

Combine like terms: lnx + -1lnx = 0
14ln + 0 = 3
14ln = 3

Solving
14ln = 3

Solving for variable 'l'.

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

Divide each side by '14n'.
l = 0.2142857143n-1

Simplifying
l = 0.2142857143n-1