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

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

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

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

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

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

Combine like terms: 3ln + 1ln = 4ln
4ln + lnx + -1lnx = ln(3)

Combine like terms: lnx + -1lnx = 0
4ln + 0 = ln(3)
4ln = ln(3)

Reorder the terms for easier multiplication:
4ln = 3ln

Solving
4ln = 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.
4ln + -3ln = 3ln + -3ln

Combine like terms: 4ln + -3ln = 1ln
1ln = 3ln + -3ln

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

Divide each side by '1'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.