ln(x-4)-ln(x-5)=4

Solution for ln(x-4)-ln(x-5)=4 equation:

Simplifying
ln(x + -4) + -1ln(x + -5) = 4

Reorder the terms:
ln(-4 + x) + -1ln(x + -5) = 4
(-4 * ln + x * ln) + -1ln(x + -5) = 4
(-4ln + lnx) + -1ln(x + -5) = 4

Reorder the terms:
-4ln + lnx + -1ln(-5 + x) = 4
-4ln + lnx + (-5 * -1ln + x * -1ln) = 4
-4ln + lnx + (5ln + -1lnx) = 4

Reorder the terms:
-4ln + 5ln + lnx + -1lnx = 4

Combine like terms: -4ln + 5ln = 1ln
1ln + lnx + -1lnx = 4

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

Solving
1ln = 4

Solving for variable 'l'.

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

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

Simplifying
l = 4n-1