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Simplifying 3ln(x) + -1ln(y) + 0.5ln(16) = 0 Multiply ln * x 3lnx + -1ln(y) + 0.5ln(16) = 0 Multiply ln * y 3lnx + -1lny + 0.5ln(16) = 0 Reorder the terms for easier multiplication: 3lnx + -1lny + 0.5 * 16ln = 0 Multiply 0.5 * 16 3lnx + -1lny + 8ln = 0 Reorder the terms: 8ln + 3lnx + -1lny = 0 Solving 8ln + 3lnx + -1lny = 0 Solving for variable 'l'. Move all terms containing l to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'ln'. ln(8 + 3x + -1y) = 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 '(8 + 3x + -1y)' equal to zero and attempt to solve: Simplifying 8 + 3x + -1y = 0 Solving 8 + 3x + -1y = 0 Move all terms containing l to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 3x + -8 + -1y = 0 + -8 Reorder the terms: 8 + -8 + 3x + -1y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3x + -1y = 0 + -8 3x + -1y = 0 + -8 Combine like terms: 0 + -8 = -8 3x + -1y = -8 Add '-3x' to each side of the equation. 3x + -3x + -1y = -8 + -3x Combine like terms: 3x + -3x = 0 0 + -1y = -8 + -3x -1y = -8 + -3x Add 'y' to each side of the equation. -1y + y = -8 + -3x + y Combine like terms: -1y + y = 0 0 = -8 + -3x + y Simplifying 0 = -8 + -3x + 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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