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Simplifying 2ln(5x + 8) = 16 Reorder the terms: 2ln(8 + 5x) = 16 (8 * 2ln + 5x * 2ln) = 16 (16ln + 10lnx) = 16 Solving 16ln + 10lnx = 16 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -16 + 16ln + 10lnx = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + 16ln + 10lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-8 + 8ln + 5lnx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-8 + 8ln + 5lnx)' equal to zero and attempt to solve: Simplifying -8 + 8ln + 5lnx = 0 Solving -8 + 8ln + 5lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8ln + 8 + 5lnx = 0 + 8 Reorder the terms: -8 + 8 + 8ln + 5lnx = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 8ln + 5lnx = 0 + 8 8ln + 5lnx = 0 + 8 Combine like terms: 0 + 8 = 8 8ln + 5lnx = 8 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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