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Simplifying 24ln + -1lnx + 2ln = 2lnx Reorder the terms: 24ln + 2ln + -1lnx = 2lnx Combine like terms: 24ln + 2ln = 26ln 26ln + -1lnx = 2lnx Solving 26ln + -1lnx = 2lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-2lnx' to each side of the equation. 26ln + -1lnx + -2lnx = 2lnx + -2lnx Combine like terms: -1lnx + -2lnx = -3lnx 26ln + -3lnx = 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 26ln + -3lnx = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(26 + -3x) = 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 '(26 + -3x)' equal to zero and attempt to solve: Simplifying 26 + -3x = 0 Solving 26 + -3x = 0 Move all terms containing l to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + -3x = 0 + -26 Combine like terms: 26 + -26 = 0 0 + -3x = 0 + -26 -3x = 0 + -26 Combine like terms: 0 + -26 = -26 -3x = -26 Add '3x' to each side of the equation. -3x + 3x = -26 + 3x Combine like terms: -3x + 3x = 0 0 = -26 + 3x Simplifying 0 = -26 + 3x 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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