ln(x+6)+ln(x-5)-ln(x-4)=ln(x-6)

Solution for ln(x+6)+ln(x-5)-ln(x-4)=ln(x-6) equation:

Simplifying
ln(x + 6) + ln(x + -5) + -1ln(x + -4) = ln(x + -6)

Reorder the terms:
ln(6 + x) + ln(x + -5) + -1ln(x + -4) = ln(x + -6)
(6 * ln + x * ln) + ln(x + -5) + -1ln(x + -4) = ln(x + -6)
(6ln + lnx) + ln(x + -5) + -1ln(x + -4) = ln(x + -6)

Reorder the terms:
6ln + lnx + ln(-5 + x) + -1ln(x + -4) = ln(x + -6)
6ln + lnx + (-5 * ln + x * ln) + -1ln(x + -4) = ln(x + -6)
6ln + lnx + (-5ln + lnx) + -1ln(x + -4) = ln(x + -6)

Reorder the terms:
6ln + lnx + -5ln + lnx + -1ln(-4 + x) = ln(x + -6)
6ln + lnx + -5ln + lnx + (-4 * -1ln + x * -1ln) = ln(x + -6)
6ln + lnx + -5ln + lnx + (4ln + -1lnx) = ln(x + -6)

Reorder the terms:
6ln + -5ln + 4ln + lnx + lnx + -1lnx = ln(x + -6)

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

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

Combine like terms: lnx + lnx = 2lnx
5ln + 2lnx + -1lnx = ln(x + -6)

Combine like terms: 2lnx + -1lnx = 1lnx
5ln + 1lnx = ln(x + -6)

Reorder the terms:
5ln + 1lnx = ln(-6 + x)
5ln + 1lnx = (-6 * ln + x * ln)
5ln + 1lnx = (-6ln + lnx)

Solving
5ln + 1lnx = -6ln + lnx

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.
5ln + 6ln + 1lnx = -6ln + 6ln + lnx

Combine like terms: 5ln + 6ln = 11ln
11ln + 1lnx = -6ln + 6ln + lnx

Combine like terms: -6ln + 6ln = 0
11ln + 1lnx = 0 + lnx
11ln + 1lnx = lnx

Add '-1lnx' to each side of the equation.
11ln + 1lnx + -1lnx = lnx + -1lnx

Combine like terms: 1lnx + -1lnx = 0
11ln + 0 = lnx + -1lnx
11ln = lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
11ln = 0

Divide each side by '11'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.