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Simplifying 4ln(4x + 8) = 16 Reorder the terms: 4ln(8 + 4x) = 16 (8 * 4ln + 4x * 4ln) = 16 (32ln + 16lnx) = 16 Solving 32ln + 16lnx = 16 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Reorder the terms: -16 + 32ln + 16lnx = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + 32ln + 16lnx = 0 Factor out the Greatest Common Factor (GCF), '16'. 16(-1 + 2ln + lnx) = 0 Ignore the factor 16.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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