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

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

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

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

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

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

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

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

Solving
1ln = 2

Solving for variable 'l'.

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

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

Simplifying
l = 2n-1