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