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

Solution for ln(x+2)-ln(x-1)=1 equation:

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

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

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

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

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

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

Solving
3ln = 1

Solving for variable 'l'.

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

Divide each side by '3n'.
l = 0.3333333333n-1

Simplifying
l = 0.3333333333n-1