ln(x+3)-ln(x-5)=5

Solution for ln(x+3)-ln(x-5)=5 equation:

Simplifying
ln(x + 3) + -1ln(x + -5) = 5

Reorder the terms:
ln(3 + x) + -1ln(x + -5) = 5
(3 * ln + x * ln) + -1ln(x + -5) = 5
(3ln + lnx) + -1ln(x + -5) = 5

Reorder the terms:
3ln + lnx + -1ln(-5 + x) = 5
3ln + lnx + (-5 * -1ln + x * -1ln) = 5
3ln + lnx + (5ln + -1lnx) = 5

Reorder the terms:
3ln + 5ln + lnx + -1lnx = 5

Combine like terms: 3ln + 5ln = 8ln
8ln + lnx + -1lnx = 5

Combine like terms: lnx + -1lnx = 0
8ln + 0 = 5
8ln = 5

Solving
8ln = 5

Solving for variable 'l'.

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

Divide each side by '8n'.
l = 0.625n-1

Simplifying
l = 0.625n-1