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Simplifying -6ln(x + -3) = -24 Reorder the terms: -6ln(-3 + x) = -24 (-3 * -6ln + x * -6ln) = -24 (18ln + -6lnx) = -24 Solving 18ln + -6lnx = -24 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: 24 + 18ln + -6lnx = -24 + 24 Combine like terms: -24 + 24 = 0 24 + 18ln + -6lnx = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(4 + 3ln + -1lnx) = 0 Ignore the factor 6.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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