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Simplifying 4x = lnx Solving 4x = 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 + 4x = lnx + -1lnx Combine like terms: lnx + -1lnx = 0 -1lnx + 4x = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1ln + 4) = 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 + 4)' equal to zero and attempt to solve: Simplifying -1ln + 4 = 0 Reorder the terms: 4 + -1ln = 0 Solving 4 + -1ln = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1ln = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1ln = 0 + -4 -1ln = 0 + -4 Combine like terms: 0 + -4 = -4 -1ln = -4 Add 'ln' to each side of the equation. -1ln + ln = -4 + ln Combine like terms: -1ln + ln = 0 0 = -4 + ln Simplifying 0 = -4 + 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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