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Simplifying 6ln(4x + 6) = 24 Reorder the terms: 6ln(6 + 4x) = 24 (6 * 6ln + 4x * 6ln) = 24 (36ln + 24lnx) = 24 Solving 36ln + 24lnx = 24 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -24 + 36ln + 24lnx = 24 + -24 Combine like terms: 24 + -24 = 0 -24 + 36ln + 24lnx = 0 Factor out the Greatest Common Factor (GCF), '12'. 12(-2 + 3ln + 2lnx) = 0 Ignore the factor 12.Subproblem 1
Set the factor '(-2 + 3ln + 2lnx)' equal to zero and attempt to solve: Simplifying -2 + 3ln + 2lnx = 0 Solving -2 + 3ln + 2lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 3ln + 2 + 2lnx = 0 + 2 Reorder the terms: -2 + 2 + 3ln + 2lnx = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3ln + 2lnx = 0 + 2 3ln + 2lnx = 0 + 2 Combine like terms: 0 + 2 = 2 3ln + 2lnx = 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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