ln(x-6)-ln(x+6)=2

Solution for ln(x-6)-ln(x+6)=2 equation:

Simplifying
ln(x + -6) + -1ln(x + 6) = 2

Reorder the terms:
ln(-6 + x) + -1ln(x + 6) = 2
(-6 * ln + x * ln) + -1ln(x + 6) = 2
(-6ln + lnx) + -1ln(x + 6) = 2

Reorder the terms:
-6ln + lnx + -1ln(6 + x) = 2
-6ln + lnx + (6 * -1ln + x * -1ln) = 2
-6ln + lnx + (-6ln + -1lnx) = 2

Reorder the terms:
-6ln + -6ln + lnx + -1lnx = 2

Combine like terms: -6ln + -6ln = -12ln
-12ln + lnx + -1lnx = 2

Combine like terms: lnx + -1lnx = 0
-12ln + 0 = 2
-12ln = 2

Solving
-12ln = 2

Solving for variable 'l'.

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

Divide each side by '-12n'.
l = -0.1666666667n-1

Simplifying
l = -0.1666666667n-1