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Simplifying 3ln(3x + 2) = 30 Reorder the terms: 3ln(2 + 3x) = 30 (2 * 3ln + 3x * 3ln) = 30 (6ln + 9lnx) = 30 Solving 6ln + 9lnx = 30 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -30 + 6ln + 9lnx = 30 + -30 Combine like terms: 30 + -30 = 0 -30 + 6ln + 9lnx = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-10 + 2ln + 3lnx) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-10 + 2ln + 3lnx)' equal to zero and attempt to solve: Simplifying -10 + 2ln + 3lnx = 0 Solving -10 + 2ln + 3lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 2ln + 10 + 3lnx = 0 + 10 Reorder the terms: -10 + 10 + 2ln + 3lnx = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 2ln + 3lnx = 0 + 10 2ln + 3lnx = 0 + 10 Combine like terms: 0 + 10 = 10 2ln + 3lnx = 10 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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