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Simplifying xln(x) = -1ln(5) Multiply lnx * x lnx2 = -1ln(5) Reorder the terms for easier multiplication: lnx2 = -1 * 5ln Multiply -1 * 5 lnx2 = -5ln Solving lnx2 = -5ln Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '5ln' to each side of the equation. 5ln + lnx2 = -5ln + 5ln Combine like terms: -5ln + 5ln = 0 5ln + lnx2 = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(5 + x2) = 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 '(5 + x2)' equal to zero and attempt to solve: Simplifying 5 + x2 = 0 Solving 5 + x2 = 0 Move all terms containing l to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x2 = 0 + -5 x2 = 0 + -5 Combine like terms: 0 + -5 = -5 x2 = -5 Add '-1x2' to each side of the equation. x2 + -1x2 = -5 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = -5 + -1x2 Simplifying 0 = -5 + -1x2 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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