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Simplifying 2ln(x + -8) + -6 = 4 Reorder the terms: 2ln(-8 + x) + -6 = 4 (-8 * 2ln + x * 2ln) + -6 = 4 (-16ln + 2lnx) + -6 = 4 Reorder the terms: -6 + -16ln + 2lnx = 4 Solving -6 + -16ln + 2lnx = 4 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -16ln + 6 + 2lnx = 4 + 6 Reorder the terms: -6 + 6 + -16ln + 2lnx = 4 + 6 Combine like terms: -6 + 6 = 0 0 + -16ln + 2lnx = 4 + 6 -16ln + 2lnx = 4 + 6 Combine like terms: 4 + 6 = 10 -16ln + 2lnx = 10 Reorder the terms: -10 + -16ln + 2lnx = 10 + -10 Combine like terms: 10 + -10 = 0 -10 + -16ln + 2lnx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-5 + -8ln + lnx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-5 + -8ln + lnx)' equal to zero and attempt to solve: Simplifying -5 + -8ln + lnx = 0 Solving -5 + -8ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -8ln + 5 + lnx = 0 + 5 Reorder the terms: -5 + 5 + -8ln + lnx = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -8ln + lnx = 0 + 5 -8ln + lnx = 0 + 5 Combine like terms: 0 + 5 = 5 -8ln + lnx = 5 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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