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