ln(x+3)-ln(x-6)=5

Solution for ln(x+3)-ln(x-6)=5 equation:

Simplifying
ln(x + 3) + -1ln(x + -6) = 5

Reorder the terms:
ln(3 + x) + -1ln(x + -6) = 5
(3 * ln + x * ln) + -1ln(x + -6) = 5
(3ln + lnx) + -1ln(x + -6) = 5

Reorder the terms:
3ln + lnx + -1ln(-6 + x) = 5
3ln + lnx + (-6 * -1ln + x * -1ln) = 5
3ln + lnx + (6ln + -1lnx) = 5

Reorder the terms:
3ln + 6ln + lnx + -1lnx = 5

Combine like terms: 3ln + 6ln = 9ln
9ln + lnx + -1lnx = 5

Combine like terms: lnx + -1lnx = 0
9ln + 0 = 5
9ln = 5

Solving
9ln = 5

Solving for variable 'l'.

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

Divide each side by '9n'.
l = 0.5555555556n-1

Simplifying
l = 0.5555555556n-1