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Simplifying ln(x2 + 4) = lny + lnc Reorder the terms: ln(4 + x2) = lny + lnc (4 * ln + x2 * ln) = lny + lnc (4ln + lnx2) = lny + lnc Reorder the terms: 4ln + lnx2 = cln + lny Solving 4ln + lnx2 = cln + lny Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add '-1cln' to each side of the equation. 4ln + -1cln + lnx2 = cln + -1cln + lny Reorder the terms: -1cln + 4ln + lnx2 = cln + -1cln + lny Combine like terms: cln + -1cln = 0 -1cln + 4ln + lnx2 = 0 + lny -1cln + 4ln + lnx2 = lny Add '-1lny' to each side of the equation. -1cln + 4ln + lnx2 + -1lny = lny + -1lny Combine like terms: lny + -1lny = 0 -1cln + 4ln + lnx2 + -1lny = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-1c + 4 + x2 + -1y) = 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 '(-1c + 4 + x2 + -1y)' equal to zero and attempt to solve: Simplifying -1c + 4 + x2 + -1y = 0 Reorder the terms: 4 + -1c + x2 + -1y = 0 Solving 4 + -1c + x2 + -1y = 0 Move all terms containing l to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -1c + x2 + -4 + -1y = 0 + -4 Reorder the terms: 4 + -4 + -1c + x2 + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1c + x2 + -1y = 0 + -4 -1c + x2 + -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -1c + x2 + -1y = -4 Add 'c' to each side of the equation. -1c + x2 + c + -1y = -4 + c Reorder the terms: -1c + c + x2 + -1y = -4 + c Combine like terms: -1c + c = 0 0 + x2 + -1y = -4 + c x2 + -1y = -4 + c Add '-1x2' to each side of the equation. x2 + -1x2 + -1y = -4 + c + -1x2 Combine like terms: x2 + -1x2 = 0 0 + -1y = -4 + c + -1x2 -1y = -4 + c + -1x2 Add 'y' to each side of the equation. -1y + y = -4 + c + -1x2 + y Combine like terms: -1y + y = 0 0 = -4 + c + -1x2 + y Simplifying 0 = -4 + c + -1x2 + y 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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