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Simplifying 4 = 2ln(3 + -1x) 4 = (3 * 2ln + -1x * 2ln) 4 = (6ln + -2lnx) Solving 4 = 6ln + -2lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-6ln' to each side of the equation. 4 + -6ln = 6ln + -6ln + -2lnx Combine like terms: 6ln + -6ln = 0 4 + -6ln = 0 + -2lnx 4 + -6ln = -2lnx Add '2lnx' to each side of the equation. 4 + -6ln + 2lnx = -2lnx + 2lnx Combine like terms: -2lnx + 2lnx = 0 4 + -6ln + 2lnx = 0 Add '-4' to each side of the equation. 4 + -6ln + -4 + 2lnx = 0 + -4 Reorder the terms: 4 + -4 + -6ln + 2lnx = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -6ln + 2lnx = 0 + -4 -6ln + 2lnx = 0 + -4 Combine like terms: 0 + -4 = -4 -6ln + 2lnx = -4 Reorder the terms: 4 + -6ln + 2lnx = -4 + 4 Combine like terms: -4 + 4 = 0 4 + -6ln + 2lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(2 + -3ln + lnx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(2 + -3ln + lnx)' equal to zero and attempt to solve: Simplifying 2 + -3ln + lnx = 0 Solving 2 + -3ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -3ln + -2 + lnx = 0 + -2 Reorder the terms: 2 + -2 + -3ln + lnx = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3ln + lnx = 0 + -2 -3ln + lnx = 0 + -2 Combine like terms: 0 + -2 = -2 -3ln + lnx = -2 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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