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Simplifying log(9) * y = log(6) * x Reorder the terms for easier multiplication: 9glo * y = log(6) * x Multiply glo * y 9gloy = log(6) * x Reorder the terms for easier multiplication: 9gloy = 6glo * x Multiply glo * x 9gloy = 6glox Solving 9gloy = 6glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6glox' to each side of the equation. -6glox + 9gloy = 6glox + -6glox Combine like terms: 6glox + -6glox = 0 -6glox + 9gloy = 0 Factor out the Greatest Common Factor (GCF), '3glo'. 3glo(-2x + 3y) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'glo' equal to zero and attempt to solve: Simplifying glo = 0 Solving glo = 0 Move all terms containing g to the left, all other terms to the right. Simplifying glo = 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 + 3y)' equal to zero and attempt to solve: Simplifying -2x + 3y = 0 Solving -2x + 3y = 0 Move all terms containing g to the left, all other terms to the right. Add '2x' to each side of the equation. -2x + 2x + 3y = 0 + 2x Combine like terms: -2x + 2x = 0 0 + 3y = 0 + 2x 3y = 0 + 2x Remove the zero: 3y = 2x Add '-3y' to each side of the equation. 3y + -3y = 2x + -3y Combine like terms: 3y + -3y = 0 0 = 2x + -3y Simplifying 0 = 2x + -3y 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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