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Simplifying 2ln(x) = xln(2e) Multiply ln * x 2lnx = xln(2e) Remove parenthesis around (2e) 2lnx = lnx * 2e Reorder the terms for easier multiplication: 2lnx = 2lnx * e Multiply lnx * e 2lnx = 2elnx Solving 2lnx = 2elnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-2elnx' to each side of the equation. -2elnx + 2lnx = 2elnx + -2elnx Combine like terms: 2elnx + -2elnx = 0 -2elnx + 2lnx = 0 Factor out the Greatest Common Factor (GCF), '2lnx'. 2lnx(-1e + 1) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'lnx' equal to zero and attempt to solve: Simplifying lnx = 0 Solving lnx = 0 Move all terms containing l to the left, all other terms to the right. Simplifying lnx = 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 + 1)' equal to zero and attempt to solve: Simplifying -1e + 1 = 0 Reorder the terms: 1 + -1e = 0 Solving 1 + -1e = 0 Move all terms containing l to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1e = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1e = 0 + -1 -1e = 0 + -1 Combine like terms: 0 + -1 = -1 -1e = -1 Add 'e' to each side of the equation. -1e + e = -1 + e Combine like terms: -1e + e = 0 0 = -1 + e Simplifying 0 = -1 + e 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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