2ln(x-2)=ln(x-2)-ln(x-3)+1.6

Solution for 2ln(x-2)=ln(x-2)-ln(x-3)+1.6 equation:

Simplifying
2ln(x + -2) = ln(x + -2) + -1ln(x + -3) + 1.6

Reorder the terms:
2ln(-2 + x) = ln(x + -2) + -1ln(x + -3) + 1.6
(-2 * 2ln + x * 2ln) = ln(x + -2) + -1ln(x + -3) + 1.6
(-4ln + 2lnx) = ln(x + -2) + -1ln(x + -3) + 1.6

Reorder the terms:
-4ln + 2lnx = ln(-2 + x) + -1ln(x + -3) + 1.6
-4ln + 2lnx = (-2 * ln + x * ln) + -1ln(x + -3) + 1.6
-4ln + 2lnx = (-2ln + lnx) + -1ln(x + -3) + 1.6

Reorder the terms:
-4ln + 2lnx = -2ln + lnx + -1ln(-3 + x) + 1.6
-4ln + 2lnx = -2ln + lnx + (-3 * -1ln + x * -1ln) + 1.6
-4ln + 2lnx = -2ln + lnx + (3ln + -1lnx) + 1.6

Reorder the terms:
-4ln + 2lnx = 1.6 + -2ln + 3ln + lnx + -1lnx

Combine like terms: -2ln + 3ln = 1ln
-4ln + 2lnx = 1.6 + 1ln + lnx + -1lnx

Combine like terms: lnx + -1lnx = 0
-4ln + 2lnx = 1.6 + 1ln + 0
-4ln + 2lnx = 1.6 + 1ln

Solving
-4ln + 2lnx = 1.6 + 1ln

Solving for variable 'l'.

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

Add '-1ln' to each side of the equation.
-4ln + -1ln + 2lnx = 1.6 + 1ln + -1ln

Combine like terms: -4ln + -1ln = -5ln
-5ln + 2lnx = 1.6 + 1ln + -1ln

Combine like terms: 1ln + -1ln = 0
-5ln + 2lnx = 1.6 + 0
-5ln + 2lnx = 1.6

Reorder the terms:
-1.6 + -5ln + 2lnx = 1.6 + -1.6

Combine like terms: 1.6 + -1.6 = 0.0
-1.6 + -5ln + 2lnx = 0.0

The solution to this equation could not be determined.