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Simplifying 2ln(3x + 2) = 18 Reorder the terms: 2ln(2 + 3x) = 18 (2 * 2ln + 3x * 2ln) = 18 (4ln + 6lnx) = 18 Solving 4ln + 6lnx = 18 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -18 + 4ln + 6lnx = 18 + -18 Combine like terms: 18 + -18 = 0 -18 + 4ln + 6lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-9 + 2ln + 3lnx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-9 + 2ln + 3lnx)' equal to zero and attempt to solve: Simplifying -9 + 2ln + 3lnx = 0 Solving -9 + 2ln + 3lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 2ln + 9 + 3lnx = 0 + 9 Reorder the terms: -9 + 9 + 2ln + 3lnx = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 2ln + 3lnx = 0 + 9 2ln + 3lnx = 0 + 9 Combine like terms: 0 + 9 = 9 2ln + 3lnx = 9 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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