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Simplifying ln(y + -1) = ln(x + 3) Reorder the terms: ln(-1 + y) = ln(x + 3) (-1 * ln + y * ln) = ln(x + 3) (-1ln + lny) = ln(x + 3) Reorder the terms: -1ln + lny = ln(3 + x) -1ln + lny = (3 * ln + x * ln) -1ln + lny = (3ln + lnx) Solving -1ln + lny = 3ln + lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-3ln' to each side of the equation. -1ln + -3ln + lny = 3ln + -3ln + lnx Combine like terms: -1ln + -3ln = -4ln -4ln + lny = 3ln + -3ln + lnx Combine like terms: 3ln + -3ln = 0 -4ln + lny = 0 + lnx -4ln + lny = lnx Add '-1lnx' to each side of the equation. -4ln + -1lnx + lny = lnx + -1lnx Combine like terms: lnx + -1lnx = 0 -4ln + -1lnx + lny = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-4 + -1x + 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 '(-4 + -1x + y)' equal to zero and attempt to solve: Simplifying -4 + -1x + y = 0 Solving -4 + -1x + y = 0 Move all terms containing l to the left, all other terms to the right. Add '4' to each side of the equation. -4 + -1x + 4 + y = 0 + 4 Reorder the terms: -4 + 4 + -1x + y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x + y = 0 + 4 -1x + y = 0 + 4 Combine like terms: 0 + 4 = 4 -1x + y = 4 Add 'x' to each side of the equation. -1x + x + y = 4 + x Combine like terms: -1x + x = 0 0 + y = 4 + x y = 4 + x Add '-1y' to each side of the equation. y + -1y = 4 + x + -1y Combine like terms: y + -1y = 0 0 = 4 + x + -1y Simplifying 0 = 4 + x + -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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