ln(x-2)-ln(x+2)=ln(x-1)-ln(x+8)

Solution for ln(x-2)-ln(x+2)=ln(x-1)-ln(x+8) equation:

Simplifying
ln(x + -2) + -1ln(x + 2) = ln(x + -1) + -1ln(x + 8)

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

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

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

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

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

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

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

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

Combine like terms: -1ln + -8ln = -9ln
-4ln = -9ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-4ln = -9ln + 0
-4ln = -9ln

Solving
-4ln = -9ln

Solving for variable 'l'.

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

Add '9ln' to each side of the equation.
-4ln + 9ln = -9ln + 9ln

Combine like terms: -4ln + 9ln = 5ln
5ln = -9ln + 9ln

Combine like terms: -9ln + 9ln = 0
5ln = 0

Divide each side by '5'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.