ln(x-3)-ln(x+5)=ln(x-4)-ln(x+2)

Solution for ln(x-3)-ln(x+5)=ln(x-4)-ln(x+2) equation:

Simplifying
ln(x + -3) + -1ln(x + 5) = ln(x + -4) + -1ln(x + 2)

Reorder the terms:
ln(-3 + x) + -1ln(x + 5) = ln(x + -4) + -1ln(x + 2)
(-3 * ln + x * ln) + -1ln(x + 5) = ln(x + -4) + -1ln(x + 2)
(-3ln + lnx) + -1ln(x + 5) = ln(x + -4) + -1ln(x + 2)

Reorder the terms:
-3ln + lnx + -1ln(5 + x) = ln(x + -4) + -1ln(x + 2)
-3ln + lnx + (5 * -1ln + x * -1ln) = ln(x + -4) + -1ln(x + 2)
-3ln + lnx + (-5ln + -1lnx) = ln(x + -4) + -1ln(x + 2)

Reorder the terms:
-3ln + -5ln + lnx + -1lnx = ln(x + -4) + -1ln(x + 2)

Combine like terms: -3ln + -5ln = -8ln
-8ln + lnx + -1lnx = ln(x + -4) + -1ln(x + 2)

Combine like terms: lnx + -1lnx = 0
-8ln + 0 = ln(x + -4) + -1ln(x + 2)
-8ln = ln(x + -4) + -1ln(x + 2)

Reorder the terms:
-8ln = ln(-4 + x) + -1ln(x + 2)
-8ln = (-4 * ln + x * ln) + -1ln(x + 2)
-8ln = (-4ln + lnx) + -1ln(x + 2)

Reorder the terms:
-8ln = -4ln + lnx + -1ln(2 + x)
-8ln = -4ln + lnx + (2 * -1ln + x * -1ln)
-8ln = -4ln + lnx + (-2ln + -1lnx)

Reorder the terms:
-8ln = -4ln + -2ln + lnx + -1lnx

Combine like terms: -4ln + -2ln = -6ln
-8ln = -6ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-8ln = -6ln + 0
-8ln = -6ln

Solving
-8ln = -6ln

Solving for variable 'l'.

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

Add '6ln' to each side of the equation.
-8ln + 6ln = -6ln + 6ln

Combine like terms: -8ln + 6ln = -2ln
-2ln = -6ln + 6ln

Combine like terms: -6ln + 6ln = 0
-2ln = 0

Divide each side by '-2'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.