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Simplifying lne10 + -1lne3x = lne Reorder the terms: -1e3lnx + e10ln = lne Solving -1e3lnx + e10ln = eln Solving for variable 'e'. Reorder the terms: -1eln + -1e3lnx + e10ln = eln + -1eln Combine like terms: eln + -1eln = 0 -1eln + -1e3lnx + e10ln = 0 Factor out the Greatest Common Factor (GCF), 'eln'. eln(-1 + -1e2x + e9) = 0Subproblem 1
Set the factor 'eln' equal to zero and attempt to solve: Simplifying eln = 0 Solving eln = 0 Move all terms containing e to the left, all other terms to the right. Simplifying eln = 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 + -1e2x + e9)' equal to zero and attempt to solve: Simplifying -1 + -1e2x + e9 = 0 Solving -1 + -1e2x + e9 = 0 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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