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Simplifying 5x = lnx Solving 5x = lnx Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1lnx' to each side of the equation. -1lnx + 5x = lnx + -1lnx Combine like terms: lnx + -1lnx = 0 -1lnx + 5x = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1ln + 5) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-1ln + 5)' equal to zero and attempt to solve: Simplifying -1ln + 5 = 0 Reorder the terms: 5 + -1ln = 0 Solving 5 + -1ln = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1ln = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1ln = 0 + -5 -1ln = 0 + -5 Combine like terms: 0 + -5 = -5 -1ln = -5 Add 'ln' to each side of the equation. -1ln + ln = -5 + ln Combine like terms: -1ln + ln = 0 0 = -5 + ln Simplifying 0 = -5 + ln The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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