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Simplifying log(y + 1) + logy = log(y + 9) Reorder the terms: glo(1 + y) + logy = log(y + 9) (1 * glo + y * glo) + logy = log(y + 9) (1glo + gloy) + logy = log(y + 9) Combine like terms: gloy + gloy = 2gloy 1glo + 2gloy = log(y + 9) Reorder the terms: 1glo + 2gloy = glo(9 + y) 1glo + 2gloy = (9 * glo + y * glo) 1glo + 2gloy = (9glo + gloy) Solving 1glo + 2gloy = 9glo + gloy Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-9glo' to each side of the equation. 1glo + -9glo + 2gloy = 9glo + -9glo + gloy Combine like terms: 1glo + -9glo = -8glo -8glo + 2gloy = 9glo + -9glo + gloy Combine like terms: 9glo + -9glo = 0 -8glo + 2gloy = 0 + gloy -8glo + 2gloy = gloy Add '-1gloy' to each side of the equation. -8glo + 2gloy + -1gloy = gloy + -1gloy Combine like terms: 2gloy + -1gloy = 1gloy -8glo + 1gloy = gloy + -1gloy Combine like terms: gloy + -1gloy = 0 -8glo + 1gloy = 0 Factor out the Greatest Common Factor (GCF), 'glo'. glo(-8 + 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 '(-8 + y)' equal to zero and attempt to solve: Simplifying -8 + y = 0 Solving -8 + y = 0 Move all terms containing g to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + y = 0 + 8 Combine like terms: -8 + 8 = 0 0 + y = 0 + 8 y = 0 + 8 Combine like terms: 0 + 8 = 8 y = 8 Add '-1y' to each side of the equation. y + -1y = 8 + -1y Combine like terms: y + -1y = 0 0 = 8 + -1y Simplifying 0 = 8 + -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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