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