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

Solution for ln(x-2)-ln(x+1)=ln(3) equation:

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

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

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

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

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

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

Reorder the terms for easier multiplication:
-3ln = 3ln

Solving
-3ln = 3ln

Solving for variable 'l'.

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

Add '-3ln' to each side of the equation.
-3ln + -3ln = 3ln + -3ln

Combine like terms: -3ln + -3ln = -6ln
-6ln = 3ln + -3ln

Combine like terms: 3ln + -3ln = 0
-6ln = 0

Divide each side by '-6'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.