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Simplifying ln(x) + -1ln(x2 + -8) = 0 Multiply ln * x lnx + -1ln(x2 + -8) = 0 Reorder the terms: lnx + -1ln(-8 + x2) = 0 lnx + (-8 * -1ln + x2 * -1ln) = 0 lnx + (8ln + -1lnx2) = 0 Reorder the terms: 8ln + lnx + -1lnx2 = 0 Solving 8ln + lnx + -1lnx2 = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'ln'. ln(8 + x + -1x2) = 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 + x + -1x2)' equal to zero and attempt to solve: Simplifying 8 + x + -1x2 = 0 Solving 8 + x + -1x2 = 0 Move all terms containing l to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + x + -8 + -1x2 = 0 + -8 Reorder the terms: 8 + -8 + x + -1x2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x + -1x2 = 0 + -8 x + -1x2 = 0 + -8 Combine like terms: 0 + -8 = -8 x + -1x2 = -8 Add '-1x' to each side of the equation. x + -1x + -1x2 = -8 + -1x Combine like terms: x + -1x = 0 0 + -1x2 = -8 + -1x -1x2 = -8 + -1x Add 'x2' to each side of the equation. -1x2 + x2 = -8 + -1x + x2 Combine like terms: -1x2 + x2 = 0 0 = -8 + -1x + x2 Simplifying 0 = -8 + -1x + x2 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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