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Simplifying 2ln(3x + -8) = 24 Reorder the terms: 2ln(-8 + 3x) = 24 (-8 * 2ln + 3x * 2ln) = 24 (-16ln + 6lnx) = 24 Solving -16ln + 6lnx = 24 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -24 + -16ln + 6lnx = 24 + -24 Combine like terms: 24 + -24 = 0 -24 + -16ln + 6lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-12 + -8ln + 3lnx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-12 + -8ln + 3lnx)' equal to zero and attempt to solve: Simplifying -12 + -8ln + 3lnx = 0 Solving -12 + -8ln + 3lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -8ln + 12 + 3lnx = 0 + 12 Reorder the terms: -12 + 12 + -8ln + 3lnx = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -8ln + 3lnx = 0 + 12 -8ln + 3lnx = 0 + 12 Combine like terms: 0 + 12 = 12 -8ln + 3lnx = 12 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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