ln(x+3)-ln(x+2)=5

Solution for ln(x+3)-ln(x+2)=5 equation:

Simplifying
ln(x + 3) + -1ln(x + 2) = 5

Reorder the terms:
ln(3 + x) + -1ln(x + 2) = 5
(3 * ln + x * ln) + -1ln(x + 2) = 5
(3ln + lnx) + -1ln(x + 2) = 5

Reorder the terms:
3ln + lnx + -1ln(2 + x) = 5
3ln + lnx + (2 * -1ln + x * -1ln) = 5
3ln + lnx + (-2ln + -1lnx) = 5

Reorder the terms:
3ln + -2ln + lnx + -1lnx = 5

Combine like terms: 3ln + -2ln = 1ln
1ln + lnx + -1lnx = 5

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

Solving
1ln = 5

Solving for variable 'l'.

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

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

Simplifying
l = 5n-1