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Simplifying 3ln(4x + 2) = 16 Reorder the terms: 3ln(2 + 4x) = 16 (2 * 3ln + 4x * 3ln) = 16 (6ln + 12lnx) = 16 Solving 6ln + 12lnx = 16 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -16 + 6ln + 12lnx = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + 6ln + 12lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-8 + 3ln + 6lnx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-8 + 3ln + 6lnx)' equal to zero and attempt to solve: Simplifying -8 + 3ln + 6lnx = 0 Solving -8 + 3ln + 6lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 3ln + 8 + 6lnx = 0 + 8 Reorder the terms: -8 + 8 + 3ln + 6lnx = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 3ln + 6lnx = 0 + 8 3ln + 6lnx = 0 + 8 Combine like terms: 0 + 8 = 8 3ln + 6lnx = 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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