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