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Simplifying 0 = ln(x + -8) Reorder the terms: 0 = ln(-8 + x) 0 = (-8 * ln + x * ln) 0 = (-8ln + lnx) Solving 0 = -8ln + lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '8ln' to each side of the equation. 0 + 8ln = -8ln + 8ln + lnx Remove the zero: 8ln = -8ln + 8ln + lnx Combine like terms: -8ln + 8ln = 0 8ln = 0 + lnx 8ln = lnx Add '-1lnx' to each side of the equation. 8ln + -1lnx = lnx + -1lnx Combine like terms: lnx + -1lnx = 0 8ln + -1lnx = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(8 + -1x) = 0Subproblem 1
Set the factor 'ln' equal to zero and attempt to solve: Simplifying ln = 0 Solving ln = 0 Move all terms containing l to the left, all other terms to the right. Simplifying ln = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing l to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Add 'x' to each side of the equation. -1x + x = -8 + x Combine like terms: -1x + x = 0 0 = -8 + x Simplifying 0 = -8 + x 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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