2lnx+3lny-2lnxy=ln

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Solution for 2lnx+3lny-2lnxy=ln equation:


Simplifying
2lnx + 3lny + -2lnxy = ln

Reorder the terms:
2lnx + -2lnxy + 3lny = ln

Solving
2lnx + -2lnxy + 3lny = ln

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.
2lnx + -2lnxy + -1ln + 3lny = ln + -1ln

Reorder the terms:
-1ln + 2lnx + -2lnxy + 3lny = ln + -1ln

Combine like terms: ln + -1ln = 0
-1ln + 2lnx + -2lnxy + 3lny = 0

Factor out the Greatest Common Factor (GCF), 'ln'.
ln(-1 + 2x + -2xy + 3y) = 0

Subproblem 1

Set the factor 'ln' equal to zero and attempt to solve: Simplifying ln = 0 Solving ln = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Subproblem 2

Set the factor '(-1 + 2x + -2xy + 3y)' equal to zero and attempt to solve: Simplifying -1 + 2x + -2xy + 3y = 0 Solving -1 + 2x + -2xy + 3y = 0 Move all terms containing l to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 2x + -2xy + 1 + 3y = 0 + 1 Reorder the terms: -1 + 1 + 2x + -2xy + 3y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2x + -2xy + 3y = 0 + 1 2x + -2xy + 3y = 0 + 1 Combine like terms: 0 + 1 = 1 2x + -2xy + 3y = 1 Add '-2x' to each side of the equation. 2x + -2xy + -2x + 3y = 1 + -2x Reorder the terms: 2x + -2x + -2xy + 3y = 1 + -2x Combine like terms: 2x + -2x = 0 0 + -2xy + 3y = 1 + -2x -2xy + 3y = 1 + -2x Add '2xy' to each side of the equation. -2xy + 2xy + 3y = 1 + -2x + 2xy Combine like terms: -2xy + 2xy = 0 0 + 3y = 1 + -2x + 2xy 3y = 1 + -2x + 2xy Add '-3y' to each side of the equation. 3y + -3y = 1 + -2x + 2xy + -3y Combine like terms: 3y + -3y = 0 0 = 1 + -2x + 2xy + -3y Simplifying 0 = 1 + -2x + 2xy + -3y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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