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Simplifying 2log(x + -1) = 5log(y + 2) Reorder the terms: 2glo(-1 + x) = 5log(y + 2) (-1 * 2glo + x * 2glo) = 5log(y + 2) (-2glo + 2glox) = 5log(y + 2) Reorder the terms: -2glo + 2glox = 5glo(2 + y) -2glo + 2glox = (2 * 5glo + y * 5glo) -2glo + 2glox = (10glo + 5gloy) Solving -2glo + 2glox = 10glo + 5gloy Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-10glo' to each side of the equation. -2glo + -10glo + 2glox = 10glo + -10glo + 5gloy Combine like terms: -2glo + -10glo = -12glo -12glo + 2glox = 10glo + -10glo + 5gloy Combine like terms: 10glo + -10glo = 0 -12glo + 2glox = 0 + 5gloy -12glo + 2glox = 5gloy Add '-5gloy' to each side of the equation. -12glo + 2glox + -5gloy = 5gloy + -5gloy Combine like terms: 5gloy + -5gloy = 0 -12glo + 2glox + -5gloy = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-12 + 2x + -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 '(-12 + 2x + -5y)' equal to zero and attempt to solve: Simplifying -12 + 2x + -5y = 0 Solving -12 + 2x + -5y = 0 Move all terms containing g to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 2x + 12 + -5y = 0 + 12 Reorder the terms: -12 + 12 + 2x + -5y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 2x + -5y = 0 + 12 2x + -5y = 0 + 12 Combine like terms: 0 + 12 = 12 2x + -5y = 12 Add '-2x' to each side of the equation. 2x + -2x + -5y = 12 + -2x Combine like terms: 2x + -2x = 0 0 + -5y = 12 + -2x -5y = 12 + -2x Add '5y' to each side of the equation. -5y + 5y = 12 + -2x + 5y Combine like terms: -5y + 5y = 0 0 = 12 + -2x + 5y Simplifying 0 = 12 + -2x + 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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