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Simplifying ln(y + -1) = lnx3 + -1ln(x3 + x) Reorder the terms: ln(-1 + y) = lnx3 + -1ln(x3 + x) (-1 * ln + y * ln) = lnx3 + -1ln(x3 + x) (-1ln + lny) = lnx3 + -1ln(x3 + x) Reorder the terms: -1ln + lny = lnx3 + -1ln(x + x3) -1ln + lny = lnx3 + (x * -1ln + x3 * -1ln) -1ln + lny = lnx3 + (-1lnx + -1lnx3) Reorder the terms: -1ln + lny = -1lnx + lnx3 + -1lnx3 Combine like terms: lnx3 + -1lnx3 = 0 -1ln + lny = -1lnx + 0 -1ln + lny = -1lnx Solving -1ln + lny = -1lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add 'lnx' to each side of the equation. -1ln + lnx + lny = -1lnx + lnx Combine like terms: -1lnx + lnx = 0 -1ln + lnx + lny = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-1 + x + y) = 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 + x + y)' equal to zero and attempt to solve: Simplifying -1 + x + y = 0 Solving -1 + x + y = 0 Move all terms containing l to the left, all other terms to the right. Add '1' to each side of the equation. -1 + x + 1 + y = 0 + 1 Reorder the terms: -1 + 1 + x + y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x + y = 0 + 1 x + y = 0 + 1 Combine like terms: 0 + 1 = 1 x + y = 1 Add '-1x' to each side of the equation. x + -1x + y = 1 + -1x Combine like terms: x + -1x = 0 0 + y = 1 + -1x y = 1 + -1x Add '-1y' to each side of the equation. y + -1y = 1 + -1x + -1y Combine like terms: y + -1y = 0 0 = 1 + -1x + -1y Simplifying 0 = 1 + -1x + -1y 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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