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Simplifying ln(x3 + -8) + -1ln(x + -2) = 0 Reorder the terms: ln(-8 + x3) + -1ln(x + -2) = 0 (-8 * ln + x3 * ln) + -1ln(x + -2) = 0 (-8ln + lnx3) + -1ln(x + -2) = 0 Reorder the terms: -8ln + lnx3 + -1ln(-2 + x) = 0 -8ln + lnx3 + (-2 * -1ln + x * -1ln) = 0 -8ln + lnx3 + (2ln + -1lnx) = 0 Reorder the terms: -8ln + 2ln + -1lnx + lnx3 = 0 Combine like terms: -8ln + 2ln = -6ln -6ln + -1lnx + lnx3 = 0 Solving -6ln + -1lnx + lnx3 = 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(-6 + -1x + x3) = 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 '(-6 + -1x + x3)' equal to zero and attempt to solve: Simplifying -6 + -1x + x3 = 0 Solving -6 + -1x + x3 = 0 Move all terms containing l to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -1x + 6 + x3 = 0 + 6 Reorder the terms: -6 + 6 + -1x + x3 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x + x3 = 0 + 6 -1x + x3 = 0 + 6 Combine like terms: 0 + 6 = 6 -1x + x3 = 6 Add 'x' to each side of the equation. -1x + x + x3 = 6 + x Combine like terms: -1x + x = 0 0 + x3 = 6 + x x3 = 6 + x Add '-1x3' to each side of the equation. x3 + -1x3 = 6 + x + -1x3 Combine like terms: x3 + -1x3 = 0 0 = 6 + x + -1x3 Simplifying 0 = 6 + x + -1x3 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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