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Simplifying 4ln(5x + 2) = 30 Reorder the terms: 4ln(2 + 5x) = 30 (2 * 4ln + 5x * 4ln) = 30 (8ln + 20lnx) = 30 Solving 8ln + 20lnx = 30 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -30 + 8ln + 20lnx = 30 + -30 Combine like terms: 30 + -30 = 0 -30 + 8ln + 20lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-15 + 4ln + 10lnx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-15 + 4ln + 10lnx)' equal to zero and attempt to solve: Simplifying -15 + 4ln + 10lnx = 0 Solving -15 + 4ln + 10lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 4ln + 15 + 10lnx = 0 + 15 Reorder the terms: -15 + 15 + 4ln + 10lnx = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 4ln + 10lnx = 0 + 15 4ln + 10lnx = 0 + 15 Combine like terms: 0 + 15 = 15 4ln + 10lnx = 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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