ln(x-6)-ln(x-2)=4

Solution for ln(x-6)-ln(x-2)=4 equation:

Simplifying
ln(x + -6) + -1ln(x + -2) = 4

Reorder the terms:
ln(-6 + x) + -1ln(x + -2) = 4
(-6 * ln + x * ln) + -1ln(x + -2) = 4
(-6ln + lnx) + -1ln(x + -2) = 4

Reorder the terms:
-6ln + lnx + -1ln(-2 + x) = 4
-6ln + lnx + (-2 * -1ln + x * -1ln) = 4
-6ln + lnx + (2ln + -1lnx) = 4

Reorder the terms:
-6ln + 2ln + lnx + -1lnx = 4

Combine like terms: -6ln + 2ln = -4ln
-4ln + lnx + -1lnx = 4

Combine like terms: lnx + -1lnx = 0
-4ln + 0 = 4
-4ln = 4

Solving
-4ln = 4

Solving for variable 'l'.

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

Divide each side by '-4n'.
l = -1n-1

Simplifying
l = -1n-1