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Simplifying 3 = 2ln(x + 3) + -5 Reorder the terms: 3 = 2ln(3 + x) + -5 3 = (3 * 2ln + x * 2ln) + -5 3 = (6ln + 2lnx) + -5 Reorder the terms: 3 = -5 + 6ln + 2lnx Solving 3 = -5 + 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. 3 + -6ln = -5 + 6ln + -6ln + 2lnx Combine like terms: 6ln + -6ln = 0 3 + -6ln = -5 + 0 + 2lnx 3 + -6ln = -5 + 2lnx Add '-2lnx' to each side of the equation. 3 + -6ln + -2lnx = -5 + 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 3 + -6ln + -2lnx = -5 + 0 3 + -6ln + -2lnx = -5 Add '-3' to each side of the equation. 3 + -6ln + -3 + -2lnx = -5 + -3 Reorder the terms: 3 + -3 + -6ln + -2lnx = -5 + -3 Combine like terms: 3 + -3 = 0 0 + -6ln + -2lnx = -5 + -3 -6ln + -2lnx = -5 + -3 Combine like terms: -5 + -3 = -8 -6ln + -2lnx = -8 Reorder the terms: 8 + -6ln + -2lnx = -8 + 8 Combine like terms: -8 + 8 = 0 8 + -6ln + -2lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4 + -3ln + -1lnx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + -3ln + -1lnx)' equal to zero and attempt to solve: Simplifying 4 + -3ln + -1lnx = 0 Solving 4 + -3ln + -1lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -3ln + -4 + -1lnx = 0 + -4 Reorder the terms: 4 + -4 + -3ln + -1lnx = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3ln + -1lnx = 0 + -4 -3ln + -1lnx = 0 + -4 Combine like terms: 0 + -4 = -4 -3ln + -1lnx = -4 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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