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Simplifying log(x) + log(y) = log(160) Multiply glo * x glox + log(y) = log(160) Multiply glo * y glox + gloy = log(160) Reorder the terms for easier multiplication: glox + gloy = 160glo Solving glox + gloy = 160glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-160glo' to each side of the equation. glox + -160glo + gloy = 160glo + -160glo Reorder the terms: -160glo + glox + gloy = 160glo + -160glo Combine like terms: 160glo + -160glo = 0 -160glo + glox + gloy = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-160 + x + y) = 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 '(-160 + x + y)' equal to zero and attempt to solve: Simplifying -160 + x + y = 0 Solving -160 + x + y = 0 Move all terms containing g to the left, all other terms to the right. Add '160' to each side of the equation. -160 + x + 160 + y = 0 + 160 Reorder the terms: -160 + 160 + x + y = 0 + 160 Combine like terms: -160 + 160 = 0 0 + x + y = 0 + 160 x + y = 0 + 160 Combine like terms: 0 + 160 = 160 x + y = 160 Add '-1x' to each side of the equation. x + -1x + y = 160 + -1x Combine like terms: x + -1x = 0 0 + y = 160 + -1x y = 160 + -1x Add '-1y' to each side of the equation. y + -1y = 160 + -1x + -1y Combine like terms: y + -1y = 0 0 = 160 + -1x + -1y Simplifying 0 = 160 + -1x + -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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