ln(x-4)-ln(x-2)=3

Solution for ln(x-4)-ln(x-2)=3 equation:

Simplifying
ln(x + -4) + -1ln(x + -2) = 3

Reorder the terms:
ln(-4 + x) + -1ln(x + -2) = 3
(-4 * ln + x * ln) + -1ln(x + -2) = 3
(-4ln + lnx) + -1ln(x + -2) = 3

Reorder the terms:
-4ln + lnx + -1ln(-2 + x) = 3
-4ln + lnx + (-2 * -1ln + x * -1ln) = 3
-4ln + lnx + (2ln + -1lnx) = 3

Reorder the terms:
-4ln + 2ln + lnx + -1lnx = 3

Combine like terms: -4ln + 2ln = -2ln
-2ln + lnx + -1lnx = 3

Combine like terms: lnx + -1lnx = 0
-2ln + 0 = 3
-2ln = 3

Solving
-2ln = 3

Solving for variable 'l'.

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

Divide each side by '-2n'.
l = -1.5n-1

Simplifying
l = -1.5n-1