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Simplifying 3ln(x) + -5ln(y) = 0 Multiply ln * x 3lnx + -5ln(y) = 0 Multiply ln * y 3lnx + -5lny = 0 Solving 3lnx + -5lny = 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(3x + -5y) = 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 '(3x + -5y)' equal to zero and attempt to solve: Simplifying 3x + -5y = 0 Solving 3x + -5y = 0 Move all terms containing l to the left, all other terms to the right. Add '-3x' to each side of the equation. 3x + -3x + -5y = 0 + -3x Combine like terms: 3x + -3x = 0 0 + -5y = 0 + -3x -5y = 0 + -3x Remove the zero: -5y = -3x Add '5y' to each side of the equation. -5y + 5y = -3x + 5y Combine like terms: -5y + 5y = 0 0 = -3x + 5y Simplifying 0 = -3x + 5y 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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