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