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

Solution for ln(x+1)-ln(x+3)=1 equation:

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

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

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

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

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

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

Solving
-2ln = 1

Solving for variable 'l'.

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

Divide each side by '-2n'.
l = -0.5n-1

Simplifying
l = -0.5n-1