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