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Simplifying 2lny = lne + -3lnx Solving 2lny = eln + -3lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1eln' to each side of the equation. -1eln + 2lny = eln + -1eln + -3lnx Combine like terms: eln + -1eln = 0 -1eln + 2lny = 0 + -3lnx -1eln + 2lny = -3lnx Add '3lnx' to each side of the equation. -1eln + 3lnx + 2lny = -3lnx + 3lnx Combine like terms: -3lnx + 3lnx = 0 -1eln + 3lnx + 2lny = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-1e + 3x + 2y) = 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 '(-1e + 3x + 2y)' equal to zero and attempt to solve: Simplifying -1e + 3x + 2y = 0 Solving -1e + 3x + 2y = 0 Move all terms containing l to the left, all other terms to the right. Add 'e' to each side of the equation. -1e + 3x + e + 2y = 0 + e Reorder the terms: -1e + e + 3x + 2y = 0 + e Combine like terms: -1e + e = 0 0 + 3x + 2y = 0 + e 3x + 2y = 0 + e Remove the zero: 3x + 2y = e Add '-3x' to each side of the equation. 3x + -3x + 2y = e + -3x Combine like terms: 3x + -3x = 0 0 + 2y = e + -3x 2y = e + -3x Add '-2y' to each side of the equation. 2y + -2y = e + -3x + -2y Combine like terms: 2y + -2y = 0 0 = e + -3x + -2y Simplifying 0 = e + -3x + -2y 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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