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Simplifying (2) * log[9] * x = log[9](x + 15) + log[9] * 4(4) Reorder the terms for easier multiplication: 2 * 9glo * x = log[9](x + 15) + log[9] * 4(4) Multiply 2 * 9 18glo * x = log[9](x + 15) + log[9] * 4(4) Multiply glo * x 18glox = log[9](x + 15) + log[9] * 4(4) Reorder the terms: 18glox = glo * 9(15 + x) + log[9] * 4(4) Reorder the terms for easier multiplication: 18glox = 9glo(15 + x) + log[9] * 4(4) 18glox = (15 * 9glo + x * 9glo) + log[9] * 4(4) 18glox = (135glo + 9glox) + log[9] * 4(4) Reorder the terms for easier multiplication: 18glox = 135glo + 9glox + 9 * 4 * 4glo Multiply 9 * 4 18glox = 135glo + 9glox + 36 * 4glo Multiply 36 * 4 18glox = 135glo + 9glox + 144glo Reorder the terms: 18glox = 135glo + 144glo + 9glox Combine like terms: 135glo + 144glo = 279glo 18glox = 279glo + 9glox Solving 18glox = 279glo + 9glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-279glo' to each side of the equation. -279glo + 18glox = 279glo + -279glo + 9glox Combine like terms: 279glo + -279glo = 0 -279glo + 18glox = 0 + 9glox -279glo + 18glox = 9glox Add '-9glox' to each side of the equation. -279glo + 18glox + -9glox = 9glox + -9glox Combine like terms: 18glox + -9glox = 9glox -279glo + 9glox = 9glox + -9glox Combine like terms: 9glox + -9glox = 0 -279glo + 9glox = 0 Factor out the Greatest Common Factor (GCF), '9glo'. 9glo(-31 + x) = 0 Ignore the factor 9.Subproblem 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 '(-31 + x)' equal to zero and attempt to solve: Simplifying -31 + x = 0 Solving -31 + x = 0 Move all terms containing g to the left, all other terms to the right. Add '31' to each side of the equation. -31 + 31 + x = 0 + 31 Combine like terms: -31 + 31 = 0 0 + x = 0 + 31 x = 0 + 31 Combine like terms: 0 + 31 = 31 x = 31 Add '-1x' to each side of the equation. x + -1x = 31 + -1x Combine like terms: x + -1x = 0 0 = 31 + -1x Simplifying 0 = 31 + -1x 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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