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

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

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

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

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

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

Combine like terms: 6ln + 3ln = 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