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