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Simplifying ln * y + -1ln * 3 = ln * x Multiply ln * y lny + -1ln * 3 = ln * x Reorder the terms for easier multiplication: lny + -1 * 3ln = ln * x Multiply -1 * 3 lny + -3ln = ln * x Reorder the terms: -3ln + lny = ln * x Multiply ln * x -3ln + lny = lnx Solving -3ln + lny = lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1lnx' to each side of the equation. -3ln + -1lnx + lny = lnx + -1lnx Combine like terms: lnx + -1lnx = 0 -3ln + -1lnx + lny = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-3 + -1x + y) = 0Subproblem 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 '(-3 + -1x + y)' equal to zero and attempt to solve: Simplifying -3 + -1x + y = 0 Solving -3 + -1x + y = 0 Move all terms containing l to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -1x + 3 + y = 0 + 3 Reorder the terms: -3 + 3 + -1x + y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x + y = 0 + 3 -1x + y = 0 + 3 Combine like terms: 0 + 3 = 3 -1x + y = 3 Add 'x' to each side of the equation. -1x + x + y = 3 + x Combine like terms: -1x + x = 0 0 + y = 3 + x y = 3 + x Add '-1y' to each side of the equation. y + -1y = 3 + x + -1y Combine like terms: y + -1y = 0 0 = 3 + x + -1y Simplifying 0 = 3 + x + -1y 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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