ln(x-6)-ln(x+4)=ln(x-1)-ln(x+3)

Solution for ln(x-6)-ln(x+4)=ln(x-1)-ln(x+3) equation:

Simplifying
ln(x + -6) + -1ln(x + 4) = ln(x + -1) + -1ln(x + 3)

Reorder the terms:
ln(-6 + x) + -1ln(x + 4) = ln(x + -1) + -1ln(x + 3)
(-6 * ln + x * ln) + -1ln(x + 4) = ln(x + -1) + -1ln(x + 3)
(-6ln + lnx) + -1ln(x + 4) = ln(x + -1) + -1ln(x + 3)

Reorder the terms:
-6ln + lnx + -1ln(4 + x) = ln(x + -1) + -1ln(x + 3)
-6ln + lnx + (4 * -1ln + x * -1ln) = ln(x + -1) + -1ln(x + 3)
-6ln + lnx + (-4ln + -1lnx) = ln(x + -1) + -1ln(x + 3)

Reorder the terms:
-6ln + -4ln + lnx + -1lnx = ln(x + -1) + -1ln(x + 3)

Combine like terms: -6ln + -4ln = -10ln
-10ln + lnx + -1lnx = ln(x + -1) + -1ln(x + 3)

Combine like terms: lnx + -1lnx = 0
-10ln + 0 = ln(x + -1) + -1ln(x + 3)
-10ln = ln(x + -1) + -1ln(x + 3)

Reorder the terms:
-10ln = ln(-1 + x) + -1ln(x + 3)
-10ln = (-1 * ln + x * ln) + -1ln(x + 3)
-10ln = (-1ln + lnx) + -1ln(x + 3)

Reorder the terms:
-10ln = -1ln + lnx + -1ln(3 + x)
-10ln = -1ln + lnx + (3 * -1ln + x * -1ln)
-10ln = -1ln + lnx + (-3ln + -1lnx)

Reorder the terms:
-10ln = -1ln + -3ln + lnx + -1lnx

Combine like terms: -1ln + -3ln = -4ln
-10ln = -4ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-10ln = -4ln + 0
-10ln = -4ln

Solving
-10ln = -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.
-10ln + 4ln = -4ln + 4ln

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

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

Divide each side by '-6'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.