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Simplifying lny = 2lnx + -1lnC Reorder the terms: lny = -1lnC + 2lnx Solving lny = -1lnC + 2lnx Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Add 'lnC' to each side of the equation. lnC + lny = -1lnC + lnC + 2lnx Combine like terms: -1lnC + lnC = 0 lnC + lny = 0 + 2lnx lnC + lny = 2lnx Add '-2lnx' to each side of the equation. lnC + -2lnx + lny = 2lnx + -2lnx Combine like terms: 2lnx + -2lnx = 0 lnC + -2lnx + lny = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(C + -2x + 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 '(C + -2x + y)' equal to zero and attempt to solve: Simplifying C + -2x + y = 0 Solving C + -2x + y = 0 Move all terms containing l to the left, all other terms to the right. Add '-1C' to each side of the equation. C + -2x + -1C + y = 0 + -1C Reorder the terms: C + -1C + -2x + y = 0 + -1C Combine like terms: C + -1C = 0 0 + -2x + y = 0 + -1C -2x + y = 0 + -1C Remove the zero: -2x + y = -1C Add '2x' to each side of the equation. -2x + 2x + y = -1C + 2x Combine like terms: -2x + 2x = 0 0 + y = -1C + 2x y = -1C + 2x Add '-1y' to each side of the equation. y + -1y = -1C + 2x + -1y Combine like terms: y + -1y = 0 0 = -1C + 2x + -1y Simplifying 0 = -1C + 2x + -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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