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