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Simplifying -3ln(2 + -1X) + 6 = -3 (2 * -3ln + -1X * -3ln) + 6 = -3 (-6ln + 3lnX) + 6 = -3 Reorder the terms: 6 + -6ln + 3lnX = -3 Solving 6 + -6ln + 3lnX = -3 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6ln + -6 + 3lnX = -3 + -6 Reorder the terms: 6 + -6 + -6ln + 3lnX = -3 + -6 Combine like terms: 6 + -6 = 0 0 + -6ln + 3lnX = -3 + -6 -6ln + 3lnX = -3 + -6 Combine like terms: -3 + -6 = -9 -6ln + 3lnX = -9 Reorder the terms: 9 + -6ln + 3lnX = -9 + 9 Combine like terms: -9 + 9 = 0 9 + -6ln + 3lnX = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(3 + -2ln + lnX) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(3 + -2ln + lnX)' equal to zero and attempt to solve: Simplifying 3 + -2ln + lnX = 0 Solving 3 + -2ln + lnX = 0 Move all terms containing l to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -2ln + -3 + lnX = 0 + -3 Reorder the terms: 3 + -3 + -2ln + lnX = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2ln + lnX = 0 + -3 -2ln + lnX = 0 + -3 Combine like terms: 0 + -3 = -3 -2ln + lnX = -3 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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