ln(x+5)-ln(x-6)=3

Solution for ln(x+5)-ln(x-6)=3 equation:

Simplifying
ln(x + 5) + -1ln(x + -6) = 3

Reorder the terms:
ln(5 + x) + -1ln(x + -6) = 3
(5 * ln + x * ln) + -1ln(x + -6) = 3
(5ln + lnx) + -1ln(x + -6) = 3

Reorder the terms:
5ln + lnx + -1ln(-6 + x) = 3
5ln + lnx + (-6 * -1ln + x * -1ln) = 3
5ln + lnx + (6ln + -1lnx) = 3

Reorder the terms:
5ln + 6ln + lnx + -1lnx = 3

Combine like terms: 5ln + 6ln = 11ln
11ln + lnx + -1lnx = 3

Combine like terms: lnx + -1lnx = 0
11ln + 0 = 3
11ln = 3

Solving
11ln = 3

Solving for variable 'l'.

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

Divide each side by '11n'.
l = 0.2727272727n-1

Simplifying
l = 0.2727272727n-1