ln(x-2)-ln(x-3)=ln(2)

Solution for ln(x-2)-ln(x-3)=ln(2) equation:

Simplifying
ln(x + -2) + -1ln(x + -3) = ln(2)

Reorder the terms:
ln(-2 + x) + -1ln(x + -3) = ln(2)
(-2 * ln + x * ln) + -1ln(x + -3) = ln(2)
(-2ln + lnx) + -1ln(x + -3) = ln(2)

Reorder the terms:
-2ln + lnx + -1ln(-3 + x) = ln(2)
-2ln + lnx + (-3 * -1ln + x * -1ln) = ln(2)
-2ln + lnx + (3ln + -1lnx) = ln(2)

Reorder the terms:
-2ln + 3ln + lnx + -1lnx = ln(2)

Combine like terms: -2ln + 3ln = 1ln
1ln + lnx + -1lnx = ln(2)

Combine like terms: lnx + -1lnx = 0
1ln + 0 = ln(2)
1ln = ln(2)

Reorder the terms for easier multiplication:
1ln = 2ln

Solving
1ln = 2ln

Solving for variable 'l'.

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

Add '-2ln' to each side of the equation.
1ln + -2ln = 2ln + -2ln

Combine like terms: 1ln + -2ln = -1ln
-1ln = 2ln + -2ln

Combine like terms: 2ln + -2ln = 0
-1ln = 0

Divide each side by '-1'.
ln = 0

Simplifying
ln = 0

The solution to this equation could not be determined.