ln(x-2)-ln(x+2)=ln(x-9)-ln(x+4)

Solution for ln(x-2)-ln(x+2)=ln(x-9)-ln(x+4) equation:

Simplifying
ln(x + -2) + -1ln(x + 2) = ln(x + -9) + -1ln(x + 4)

Reorder the terms:
ln(-2 + x) + -1ln(x + 2) = ln(x + -9) + -1ln(x + 4)
(-2 * ln + x * ln) + -1ln(x + 2) = ln(x + -9) + -1ln(x + 4)
(-2ln + lnx) + -1ln(x + 2) = ln(x + -9) + -1ln(x + 4)

Reorder the terms:
-2ln + lnx + -1ln(2 + x) = ln(x + -9) + -1ln(x + 4)
-2ln + lnx + (2 * -1ln + x * -1ln) = ln(x + -9) + -1ln(x + 4)
-2ln + lnx + (-2ln + -1lnx) = ln(x + -9) + -1ln(x + 4)

Reorder the terms:
-2ln + -2ln + lnx + -1lnx = ln(x + -9) + -1ln(x + 4)

Combine like terms: -2ln + -2ln = -4ln
-4ln + lnx + -1lnx = ln(x + -9) + -1ln(x + 4)

Combine like terms: lnx + -1lnx = 0
-4ln + 0 = ln(x + -9) + -1ln(x + 4)
-4ln = ln(x + -9) + -1ln(x + 4)

Reorder the terms:
-4ln = ln(-9 + x) + -1ln(x + 4)
-4ln = (-9 * ln + x * ln) + -1ln(x + 4)
-4ln = (-9ln + lnx) + -1ln(x + 4)

Reorder the terms:
-4ln = -9ln + lnx + -1ln(4 + x)
-4ln = -9ln + lnx + (4 * -1ln + x * -1ln)
-4ln = -9ln + lnx + (-4ln + -1lnx)

Reorder the terms:
-4ln = -9ln + -4ln + lnx + -1lnx

Combine like terms: -9ln + -4ln = -13ln
-4ln = -13ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-4ln = -13ln + 0
-4ln = -13ln

Solving
-4ln = -13ln

Solving for variable 'l'.

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

Add '13ln' to each side of the equation.
-4ln + 13ln = -13ln + 13ln

Combine like terms: -4ln + 13ln = 9ln
9ln = -13ln + 13ln

Combine like terms: -13ln + 13ln = 0
9ln = 0

Divide each side by '9'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.