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