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Simplifying 2ln(X + -3) + -1 = 3 Reorder the terms: 2ln(-3 + X) + -1 = 3 (-3 * 2ln + X * 2ln) + -1 = 3 (-6ln + 2lnX) + -1 = 3 Reorder the terms: -1 + -6ln + 2lnX = 3 Solving -1 + -6ln + 2lnX = 3 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -6ln + 1 + 2lnX = 3 + 1 Reorder the terms: -1 + 1 + -6ln + 2lnX = 3 + 1 Combine like terms: -1 + 1 = 0 0 + -6ln + 2lnX = 3 + 1 -6ln + 2lnX = 3 + 1 Combine like terms: 3 + 1 = 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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