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Simplifying 6ln(3x + 2) = 28 Reorder the terms: 6ln(2 + 3x) = 28 (2 * 6ln + 3x * 6ln) = 28 (12ln + 18lnx) = 28 Solving 12ln + 18lnx = 28 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -28 + 12ln + 18lnx = 28 + -28 Combine like terms: 28 + -28 = 0 -28 + 12ln + 18lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-14 + 6ln + 9lnx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-14 + 6ln + 9lnx)' equal to zero and attempt to solve: Simplifying -14 + 6ln + 9lnx = 0 Solving -14 + 6ln + 9lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 6ln + 14 + 9lnx = 0 + 14 Reorder the terms: -14 + 14 + 6ln + 9lnx = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 6ln + 9lnx = 0 + 14 6ln + 9lnx = 0 + 14 Combine like terms: 0 + 14 = 14 6ln + 9lnx = 14 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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