ln(x-3)-ln(x-7)=ln(x-1)-ln(x+5)

Solution for ln(x-3)-ln(x-7)=ln(x-1)-ln(x+5) equation:

Simplifying
ln(x + -3) + -1ln(x + -7) = ln(x + -1) + -1ln(x + 5)

Reorder the terms:
ln(-3 + x) + -1ln(x + -7) = ln(x + -1) + -1ln(x + 5)
(-3 * ln + x * ln) + -1ln(x + -7) = ln(x + -1) + -1ln(x + 5)
(-3ln + lnx) + -1ln(x + -7) = ln(x + -1) + -1ln(x + 5)

Reorder the terms:
-3ln + lnx + -1ln(-7 + x) = ln(x + -1) + -1ln(x + 5)
-3ln + lnx + (-7 * -1ln + x * -1ln) = ln(x + -1) + -1ln(x + 5)
-3ln + lnx + (7ln + -1lnx) = ln(x + -1) + -1ln(x + 5)

Reorder the terms:
-3ln + 7ln + lnx + -1lnx = ln(x + -1) + -1ln(x + 5)

Combine like terms: -3ln + 7ln = 4ln
4ln + lnx + -1lnx = ln(x + -1) + -1ln(x + 5)

Combine like terms: lnx + -1lnx = 0
4ln + 0 = ln(x + -1) + -1ln(x + 5)
4ln = ln(x + -1) + -1ln(x + 5)

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

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

Reorder the terms:
4ln = -1ln + -5ln + lnx + -1lnx

Combine like terms: -1ln + -5ln = -6ln
4ln = -6ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
4ln = -6ln + 0
4ln = -6ln

Solving
4ln = -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.
4ln + 6ln = -6ln + 6ln

Combine like terms: 4ln + 6ln = 10ln
10ln = -6ln + 6ln

Combine like terms: -6ln + 6ln = 0
10ln = 0

Divide each side by '10'.
ln = 0.0

Simplifying
ln = 0.0

The solution to this equation could not be determined.