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Simplifying 2lne6 + -1lne5 = 0 Reorder the terms: -1e5ln + 2e6ln = 0 Solving -1e5ln + 2e6ln = 0 Solving for variable 'e'. Factor out the Greatest Common Factor (GCF), 'e5ln'. e5ln(-1 + 2e) = 0Subproblem 1
Set the factor 'e5ln' equal to zero and attempt to solve: Simplifying e5ln = 0 Solving e5ln = 0 Move all terms containing e to the left, all other terms to the right. Simplifying e5ln = 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 + 2e)' equal to zero and attempt to solve: Simplifying -1 + 2e = 0 Solving -1 + 2e = 0 Move all terms containing e to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 2e = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2e = 0 + 1 2e = 0 + 1 Combine like terms: 0 + 1 = 1 2e = 1 Divide each side by '2'. e = 0.5 Simplifying e = 0.5Solution
e = {0.5}
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