ln(x-9)-ln(x+1)=ln(x-9)-ln(x+5)

Solution for ln(x-9)-ln(x+1)=ln(x-9)-ln(x+5) equation:

Simplifying
ln(x + -9) + -1ln(x + 1) = ln(x + -9) + -1ln(x + 5)

Reorder the terms:
ln(-9 + x) + -1ln(x + 1) = ln(x + -9) + -1ln(x + 5)
(-9 * ln + x * ln) + -1ln(x + 1) = ln(x + -9) + -1ln(x + 5)
(-9ln + lnx) + -1ln(x + 1) = ln(x + -9) + -1ln(x + 5)

Reorder the terms:
-9ln + lnx + -1ln(1 + x) = ln(x + -9) + -1ln(x + 5)
-9ln + lnx + (1 * -1ln + x * -1ln) = ln(x + -9) + -1ln(x + 5)
-9ln + lnx + (-1ln + -1lnx) = ln(x + -9) + -1ln(x + 5)

Reorder the terms:
-9ln + -1ln + lnx + -1lnx = ln(x + -9) + -1ln(x + 5)

Combine like terms: -9ln + -1ln = -10ln
-10ln + lnx + -1lnx = ln(x + -9) + -1ln(x + 5)

Combine like terms: lnx + -1lnx = 0
-10ln + 0 = ln(x + -9) + -1ln(x + 5)
-10ln = ln(x + -9) + -1ln(x + 5)

Reorder the terms:
-10ln = ln(-9 + x) + -1ln(x + 5)
-10ln = (-9 * ln + x * ln) + -1ln(x + 5)
-10ln = (-9ln + lnx) + -1ln(x + 5)

Reorder the terms:
-10ln = -9ln + lnx + -1ln(5 + x)
-10ln = -9ln + lnx + (5 * -1ln + x * -1ln)
-10ln = -9ln + lnx + (-5ln + -1lnx)

Reorder the terms:
-10ln = -9ln + -5ln + lnx + -1lnx

Combine like terms: -9ln + -5ln = -14ln
-10ln = -14ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-10ln = -14ln + 0
-10ln = -14ln

Solving
-10ln = -14ln

Solving for variable 'l'.

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

Add '14ln' to each side of the equation.
-10ln + 14ln = -14ln + 14ln

Combine like terms: -10ln + 14ln = 4ln
4ln = -14ln + 14ln

Combine like terms: -14ln + 14ln = 0
4ln = 0

Divide each side by '4'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.