ln(x+3)-ln(x+2)=3

Solution for ln(x+3)-ln(x+2)=3 equation:

Simplifying
ln(x + 3) + -1ln(x + 2) = 3

Reorder the terms:
ln(3 + x) + -1ln(x + 2) = 3
(3 * ln + x * ln) + -1ln(x + 2) = 3
(3ln + lnx) + -1ln(x + 2) = 3

Reorder the terms:
3ln + lnx + -1ln(2 + x) = 3
3ln + lnx + (2 * -1ln + x * -1ln) = 3
3ln + lnx + (-2ln + -1lnx) = 3

Reorder the terms:
3ln + -2ln + lnx + -1lnx = 3

Combine like terms: 3ln + -2ln = 1ln
1ln + lnx + -1lnx = 3

Combine like terms: lnx + -1lnx = 0
1ln + 0 = 3
1ln = 3

Solving
1ln = 3

Solving for variable 'l'.

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

Divide each side by '1n'.
l = 3n-1

Simplifying
l = 3n-1