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Simplifying 4ln(5x + 8) = 40 Reorder the terms: 4ln(8 + 5x) = 40 (8 * 4ln + 5x * 4ln) = 40 (32ln + 20lnx) = 40 Solving 32ln + 20lnx = 40 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -40 + 32ln + 20lnx = 40 + -40 Combine like terms: 40 + -40 = 0 -40 + 32ln + 20lnx = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-10 + 8ln + 5lnx) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-10 + 8ln + 5lnx)' equal to zero and attempt to solve: Simplifying -10 + 8ln + 5lnx = 0 Solving -10 + 8ln + 5lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 8ln + 10 + 5lnx = 0 + 10 Reorder the terms: -10 + 10 + 8ln + 5lnx = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 8ln + 5lnx = 0 + 10 8ln + 5lnx = 0 + 10 Combine like terms: 0 + 10 = 10 8ln + 5lnx = 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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