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Simplifying 3ln(2x + -6) = -9 Reorder the terms: 3ln(-6 + 2x) = -9 (-6 * 3ln + 2x * 3ln) = -9 (-18ln + 6lnx) = -9 Solving -18ln + 6lnx = -9 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: 9 + -18ln + 6lnx = -9 + 9 Combine like terms: -9 + 9 = 0 9 + -18ln + 6lnx = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(3 + -6ln + 2lnx) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(3 + -6ln + 2lnx)' equal to zero and attempt to solve: Simplifying 3 + -6ln + 2lnx = 0 Solving 3 + -6ln + 2lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -6ln + -3 + 2lnx = 0 + -3 Reorder the terms: 3 + -3 + -6ln + 2lnx = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -6ln + 2lnx = 0 + -3 -6ln + 2lnx = 0 + -3 Combine like terms: 0 + -3 = -3 -6ln + 2lnx = -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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