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