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