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Simplifying 7ln(x + -8) + -23 = 33 Reorder the terms: 7ln(-8 + x) + -23 = 33 (-8 * 7ln + x * 7ln) + -23 = 33 (-56ln + 7lnx) + -23 = 33 Reorder the terms: -23 + -56ln + 7lnx = 33 Solving -23 + -56ln + 7lnx = 33 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '23' to each side of the equation. -23 + -56ln + 23 + 7lnx = 33 + 23 Reorder the terms: -23 + 23 + -56ln + 7lnx = 33 + 23 Combine like terms: -23 + 23 = 0 0 + -56ln + 7lnx = 33 + 23 -56ln + 7lnx = 33 + 23 Combine like terms: 33 + 23 = 56 -56ln + 7lnx = 56 Reorder the terms: -56 + -56ln + 7lnx = 56 + -56 Combine like terms: 56 + -56 = 0 -56 + -56ln + 7lnx = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(-8 + -8ln + lnx) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(-8 + -8ln + lnx)' equal to zero and attempt to solve: Simplifying -8 + -8ln + lnx = 0 Solving -8 + -8ln + lnx = 0 Move all terms containing l to the left, all other terms to the right. Add '8' to each side of the equation. -8 + -8ln + 8 + lnx = 0 + 8 Reorder the terms: -8 + 8 + -8ln + lnx = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -8ln + lnx = 0 + 8 -8ln + lnx = 0 + 8 Combine like terms: 0 + 8 = 8 -8ln + lnx = 8 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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