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Simplifying ln(x + 1) + ln(x + -1) + -1ln(x + 5) = 0 Reorder the terms: ln(1 + x) + ln(x + -1) + -1ln(x + 5) = 0 (1 * ln + x * ln) + ln(x + -1) + -1ln(x + 5) = 0 (1ln + lnx) + ln(x + -1) + -1ln(x + 5) = 0 Reorder the terms: 1ln + lnx + ln(-1 + x) + -1ln(x + 5) = 0 1ln + lnx + (-1 * ln + x * ln) + -1ln(x + 5) = 0 1ln + lnx + (-1ln + lnx) + -1ln(x + 5) = 0 Reorder the terms: 1ln + lnx + -1ln + lnx + -1ln(5 + x) = 0 1ln + lnx + -1ln + lnx + (5 * -1ln + x * -1ln) = 0 1ln + lnx + -1ln + lnx + (-5ln + -1lnx) = 0 Reorder the terms: 1ln + -1ln + -5ln + lnx + lnx + -1lnx = 0 Combine like terms: 1ln + -1ln = 0 0 + -5ln + lnx + lnx + -1lnx = 0 -5ln + lnx + lnx + -1lnx = 0 Combine like terms: lnx + lnx = 2lnx -5ln + 2lnx + -1lnx = 0 Combine like terms: 2lnx + -1lnx = 1lnx -5ln + 1lnx = 0 Solving -5ln + 1lnx = 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(-5 + x) = 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 '(-5 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 0 Move all terms containing l to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Add '-1x' to each side of the equation. x + -1x = 5 + -1x Combine like terms: x + -1x = 0 0 = 5 + -1x Simplifying 0 = 5 + -1x 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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