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 = 5ln
5ln + lnx + -1lnx = 2

Combine like terms: lnx + -1lnx = 0
5ln + 0 = 2
5ln = 2

Solving
5ln = 2

Solving for variable 'l'.

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

Divide each side by '5n'.
l = 0.4n-1

Simplifying
l = 0.4n-1