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

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

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

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

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

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

Combine like terms: 6ln + 6ln = 12ln
12ln + lnx + -1lnx = 5

Combine like terms: lnx + -1lnx = 0
12ln + 0 = 5
12ln = 5

Solving
12ln = 5

Solving for variable 'l'.

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

Divide each side by '12n'.
l = 0.4166666667n-1

Simplifying
l = 0.4166666667n-1