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Simplifying 0.5log(y) + log(x) = log(300) Multiply glo * y 0.5gloy + log(x) = log(300) Multiply glo * x 0.5gloy + glox = log(300) Reorder the terms: glox + 0.5gloy = log(300) Reorder the terms for easier multiplication: glox + 0.5gloy = 300glo Solving glox + 0.5gloy = 300glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-300glo' to each side of the equation. glox + -300glo + 0.5gloy = 300glo + -300glo Reorder the terms: -300glo + glox + 0.5gloy = 300glo + -300glo Combine like terms: 300glo + -300glo = 0 -300glo + glox + 0.5gloy = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-300 + x + 0.5y) = 0Subproblem 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 '(-300 + x + 0.5y)' equal to zero and attempt to solve: Simplifying -300 + x + 0.5y = 0 Solving -300 + x + 0.5y = 0 Move all terms containing g to the left, all other terms to the right. Add '300' to each side of the equation. -300 + x + 300 + 0.5y = 0 + 300 Reorder the terms: -300 + 300 + x + 0.5y = 0 + 300 Combine like terms: -300 + 300 = 0 0 + x + 0.5y = 0 + 300 x + 0.5y = 0 + 300 Combine like terms: 0 + 300 = 300 x + 0.5y = 300 Add '-1x' to each side of the equation. x + -1x + 0.5y = 300 + -1x Combine like terms: x + -1x = 0 0 + 0.5y = 300 + -1x 0.5y = 300 + -1x Add '-0.5y' to each side of the equation. 0.5y + -0.5y = 300 + -1x + -0.5y Combine like terms: 0.5y + -0.5y = 0.0 0.0 = 300 + -1x + -0.5y Simplifying 0.0 = 300 + -1x + -0.5y 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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