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Simplifying (X) * ln(3) = (2x + -1) * ln(22) Reorder the terms for easier multiplication: 3X * ln = (2x + -1) * ln(22) Multiply X * ln 3lnX = (2x + -1) * ln(22) Reorder the terms: 3lnX = (-1 + 2x) * ln(22) Reorder the terms for easier multiplication: 3lnX = 22ln(-1 + 2x) 3lnX = (-1 * 22ln + 2x * 22ln) 3lnX = (-22ln + 44lnx) Solving 3lnX = -22ln + 44lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '22ln' to each side of the equation. 22ln + 3lnX = -22ln + 22ln + 44lnx Combine like terms: -22ln + 22ln = 0 22ln + 3lnX = 0 + 44lnx 22ln + 3lnX = 44lnx Add '-44lnx' to each side of the equation. 22ln + 3lnX + -44lnx = 44lnx + -44lnx Combine like terms: 44lnx + -44lnx = 0 22ln + 3lnX + -44lnx = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(22 + 3X + -44x) = 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 '(22 + 3X + -44x)' equal to zero and attempt to solve: Simplifying 22 + 3X + -44x = 0 Solving 22 + 3X + -44x = 0 Move all terms containing l to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + 3X + -22 + -44x = 0 + -22 Reorder the terms: 22 + -22 + 3X + -44x = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 3X + -44x = 0 + -22 3X + -44x = 0 + -22 Combine like terms: 0 + -22 = -22 3X + -44x = -22 Add '-3X' to each side of the equation. 3X + -3X + -44x = -22 + -3X Combine like terms: 3X + -3X = 0 0 + -44x = -22 + -3X -44x = -22 + -3X Add '44x' to each side of the equation. -44x + 44x = -22 + -3X + 44x Combine like terms: -44x + 44x = 0 0 = -22 + -3X + 44x Simplifying 0 = -22 + -3X + 44x 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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