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Simplifying 3ln(3x + 4) = 24 Reorder the terms: 3ln(4 + 3x) = 24 (4 * 3ln + 3x * 3ln) = 24 (12ln + 9lnx) = 24 Solving 12ln + 9lnx = 24 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -24 + 12ln + 9lnx = 24 + -24 Combine like terms: 24 + -24 = 0 -24 + 12ln + 9lnx = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-8 + 4ln + 3lnx) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-8 + 4ln + 3lnx)' equal to zero and attempt to solve: Simplifying -8 + 4ln + 3lnx = 0 Solving -8 + 4ln + 3lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 4ln + 8 + 3lnx = 0 + 8 Reorder the terms: -8 + 8 + 4ln + 3lnx = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 4ln + 3lnx = 0 + 8 4ln + 3lnx = 0 + 8 Combine like terms: 0 + 8 = 8 4ln + 3lnx = 8 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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