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Simplifying 2ln(5x + 6) = 30 Reorder the terms: 2ln(6 + 5x) = 30 (6 * 2ln + 5x * 2ln) = 30 (12ln + 10lnx) = 30 Solving 12ln + 10lnx = 30 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -30 + 12ln + 10lnx = 30 + -30 Combine like terms: 30 + -30 = 0 -30 + 12ln + 10lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-15 + 6ln + 5lnx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-15 + 6ln + 5lnx)' equal to zero and attempt to solve: Simplifying -15 + 6ln + 5lnx = 0 Solving -15 + 6ln + 5lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 6ln + 15 + 5lnx = 0 + 15 Reorder the terms: -15 + 15 + 6ln + 5lnx = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 6ln + 5lnx = 0 + 15 6ln + 5lnx = 0 + 15 Combine like terms: 0 + 15 = 15 6ln + 5lnx = 15 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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