ln(x-1)-ln(x+2)=ln(4)

Solution for ln(x-1)-ln(x+2)=ln(4) equation:

Simplifying
ln(x + -1) + -1ln(x + 2) = ln(4)

Reorder the terms:
ln(-1 + x) + -1ln(x + 2) = ln(4)
(-1 * ln + x * ln) + -1ln(x + 2) = ln(4)
(-1ln + lnx) + -1ln(x + 2) = ln(4)

Reorder the terms:
-1ln + lnx + -1ln(2 + x) = ln(4)
-1ln + lnx + (2 * -1ln + x * -1ln) = ln(4)
-1ln + lnx + (-2ln + -1lnx) = ln(4)

Reorder the terms:
-1ln + -2ln + lnx + -1lnx = ln(4)

Combine like terms: -1ln + -2ln = -3ln
-3ln + lnx + -1lnx = ln(4)

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

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

Solving
-3ln = 4ln

Solving for variable 'l'.

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

Add '-4ln' to each side of the equation.
-3ln + -4ln = 4ln + -4ln

Combine like terms: -3ln + -4ln = -7ln
-7ln = 4ln + -4ln

Combine like terms: 4ln + -4ln = 0
-7ln = 0

Divide each side by '-7'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.