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Simplifying 5ln(4x + 8) = 20 Reorder the terms: 5ln(8 + 4x) = 20 (8 * 5ln + 4x * 5ln) = 20 (40ln + 20lnx) = 20 Solving 40ln + 20lnx = 20 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -20 + 40ln + 20lnx = 20 + -20 Combine like terms: 20 + -20 = 0 -20 + 40ln + 20lnx = 0 Factor out the Greatest Common Factor (GCF), '20'. 20(-1 + 2ln + lnx) = 0 Ignore the factor 20.Subproblem 1
Set the factor '(-1 + 2ln + lnx)' equal to zero and attempt to solve: Simplifying -1 + 2ln + lnx = 0 Solving -1 + 2ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 2ln + 1 + lnx = 0 + 1 Reorder the terms: -1 + 1 + 2ln + lnx = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2ln + lnx = 0 + 1 2ln + lnx = 0 + 1 Combine like terms: 0 + 1 = 1 2ln + lnx = 1 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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