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Simplifying log(0.8x + 1) = log(0.8y + 1) + -1log(1 + -1u) Reorder the terms: glo(1 + 0.8x) = log(0.8y + 1) + -1log(1 + -1u) (1 * glo + 0.8x * glo) = log(0.8y + 1) + -1log(1 + -1u) (1glo + 0.8glox) = log(0.8y + 1) + -1log(1 + -1u) Reorder the terms: 1glo + 0.8glox = glo(1 + 0.8y) + -1log(1 + -1u) 1glo + 0.8glox = (1 * glo + 0.8y * glo) + -1log(1 + -1u) 1glo + 0.8glox = (1glo + 0.8gloy) + -1log(1 + -1u) 1glo + 0.8glox = 1glo + 0.8gloy + (1 * -1glo + -1u * -1glo) 1glo + 0.8glox = 1glo + 0.8gloy + (-1glo + 1glou) Reorder the terms: 1glo + 0.8glox = 1glo + -1glo + 1glou + 0.8gloy Combine like terms: 1glo + -1glo = 0 1glo + 0.8glox = 0 + 1glou + 0.8gloy 1glo + 0.8glox = 1glou + 0.8gloy Solving 1glo + 0.8glox = 1glou + 0.8gloy Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-1glou' to each side of the equation. 1glo + -1glou + 0.8glox = 1glou + -1glou + 0.8gloy Combine like terms: 1glou + -1glou = 0 1glo + -1glou + 0.8glox = 0 + 0.8gloy 1glo + -1glou + 0.8glox = 0.8gloy Add '-0.8gloy' to each side of the equation. 1glo + -1glou + 0.8glox + -0.8gloy = 0.8gloy + -0.8gloy Combine like terms: 0.8gloy + -0.8gloy = 0.0 1glo + -1glou + 0.8glox + -0.8gloy = 0.0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(1 + -1u + 0.8x + -0.8y) = 0.0Subproblem 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 '(1 + -1u + 0.8x + -0.8y)' equal to zero and attempt to solve: Simplifying 1 + -1u + 0.8x + -0.8y = 0 Solving 1 + -1u + 0.8x + -0.8y = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1u + 0.8x + -1 + -0.8y = 0 + -1 Reorder the terms: 1 + -1 + -1u + 0.8x + -0.8y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1u + 0.8x + -0.8y = 0 + -1 -1u + 0.8x + -0.8y = 0 + -1 Combine like terms: 0 + -1 = -1 -1u + 0.8x + -0.8y = -1 Add 'u' to each side of the equation. -1u + 0.8x + u + -0.8y = -1 + u Reorder the terms: -1u + u + 0.8x + -0.8y = -1 + u Combine like terms: -1u + u = 0 0 + 0.8x + -0.8y = -1 + u 0.8x + -0.8y = -1 + u Add '-0.8x' to each side of the equation. 0.8x + -0.8x + -0.8y = -1 + u + -0.8x Combine like terms: 0.8x + -0.8x = 0.0 0.0 + -0.8y = -1 + u + -0.8x -0.8y = -1 + u + -0.8x Add '0.8y' to each side of the equation. -0.8y + 0.8y = -1 + u + -0.8x + 0.8y Combine like terms: -0.8y + 0.8y = 0.0 0.0 = -1 + u + -0.8x + 0.8y Simplifying 0.0 = -1 + u + -0.8x + 0.8y 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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