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Simplifying lnx = -1lny + lnc Reorder the terms: lnx = cln + -1lny Solving lnx = cln + -1lny 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. -1cln + lnx = cln + -1cln + -1lny Combine like terms: cln + -1cln = 0 -1cln + lnx = 0 + -1lny -1cln + lnx = -1lny Add 'lny' to each side of the equation. -1cln + lnx + lny = -1lny + lny Combine like terms: -1lny + lny = 0 -1cln + lnx + lny = 0 Factor out the Greatest Common Factor (GCF), 'ln'. ln(-1c + 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 '(-1c + x + y)' equal to zero and attempt to solve: Simplifying -1c + x + y = 0 Solving -1c + x + 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 + x + c + y = 0 + c Reorder the terms: -1c + c + x + y = 0 + c Combine like terms: -1c + c = 0 0 + x + y = 0 + c x + y = 0 + c Remove the zero: x + y = c Add '-1x' to each side of the equation. x + -1x + y = c + -1x Combine like terms: x + -1x = 0 0 + y = c + -1x y = c + -1x Add '-1y' to each side of the equation. y + -1y = c + -1x + -1y Combine like terms: y + -1y = 0 0 = c + -1x + -1y Simplifying 0 = c + -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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