ln(x-8)-ln(x+2)=ln(11)

Solution for ln(x-8)-ln(x+2)=ln(11) equation:

Simplifying
ln(x + -8) + -1ln(x + 2) = ln(11)

Reorder the terms:
ln(-8 + x) + -1ln(x + 2) = ln(11)
(-8 * ln + x * ln) + -1ln(x + 2) = ln(11)
(-8ln + lnx) + -1ln(x + 2) = ln(11)

Reorder the terms:
-8ln + lnx + -1ln(2 + x) = ln(11)
-8ln + lnx + (2 * -1ln + x * -1ln) = ln(11)
-8ln + lnx + (-2ln + -1lnx) = ln(11)

Reorder the terms:
-8ln + -2ln + lnx + -1lnx = ln(11)

Combine like terms: -8ln + -2ln = -10ln
-10ln + lnx + -1lnx = ln(11)

Combine like terms: lnx + -1lnx = 0
-10ln + 0 = ln(11)
-10ln = ln(11)

Reorder the terms for easier multiplication:
-10ln = 11ln

Solving
-10ln = 11ln

Solving for variable 'l'.

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

Add '-11ln' to each side of the equation.
-10ln + -11ln = 11ln + -11ln

Combine like terms: -10ln + -11ln = -21ln
-21ln = 11ln + -11ln

Combine like terms: 11ln + -11ln = 0
-21ln = 0

Divide each side by '-21'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.