ln(x-3)-ln(x-2)=ln(5)

Solution for ln(x-3)-ln(x-2)=ln(5) equation:

Simplifying
ln(x + -3) + -1ln(x + -2) = ln(5)

Reorder the terms:
ln(-3 + x) + -1ln(x + -2) = ln(5)
(-3 * ln + x * ln) + -1ln(x + -2) = ln(5)
(-3ln + lnx) + -1ln(x + -2) = ln(5)

Reorder the terms:
-3ln + lnx + -1ln(-2 + x) = ln(5)
-3ln + lnx + (-2 * -1ln + x * -1ln) = ln(5)
-3ln + lnx + (2ln + -1lnx) = ln(5)

Reorder the terms:
-3ln + 2ln + lnx + -1lnx = ln(5)

Combine like terms: -3ln + 2ln = -1ln
-1ln + lnx + -1lnx = ln(5)

Combine like terms: lnx + -1lnx = 0
-1ln + 0 = ln(5)
-1ln = ln(5)

Reorder the terms for easier multiplication:
-1ln = 5ln

Solving
-1ln = 5ln

Solving for variable 'l'.

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

Add '-5ln' to each side of the equation.
-1ln + -5ln = 5ln + -5ln

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

Combine like terms: 5ln + -5ln = 0
-6ln = 0

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

Simplifying
ln = 0

The solution to this equation could not be determined.