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