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

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

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

Multiply ln * x
lnx + -1ln(x + -2) = ln(3)

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

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

Combine like terms: lnx + -1lnx = 0
2ln + 0 = ln(3)
2ln = ln(3)

Reorder the terms for easier multiplication:
2ln = 3ln

Solving
2ln = 3ln

Solving for variable 'l'.

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

Add '-3ln' to each side of the equation.
2ln + -3ln = 3ln + -3ln

Combine like terms: 2ln + -3ln = -1ln
-1ln = 3ln + -3ln

Combine like terms: 3ln + -3ln = 0
-1ln = 0

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

Simplifying
ln = 0

The solution to this equation could not be determined.