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Simplifying x * log(9) = (x + -2) * log(27) Reorder the terms for easier multiplication: 9x * glo = (x + -2) * log(27) Multiply x * glo 9glox = (x + -2) * log(27) Reorder the terms: 9glox = (-2 + x) * log(27) Reorder the terms for easier multiplication: 9glox = 27glo(-2 + x) 9glox = (-2 * 27glo + x * 27glo) 9glox = (-54glo + 27glox) Solving 9glox = -54glo + 27glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '54glo' to each side of the equation. 54glo + 9glox = -54glo + 54glo + 27glox Combine like terms: -54glo + 54glo = 0 54glo + 9glox = 0 + 27glox 54glo + 9glox = 27glox Add '-27glox' to each side of the equation. 54glo + 9glox + -27glox = 27glox + -27glox Combine like terms: 9glox + -27glox = -18glox 54glo + -18glox = 27glox + -27glox Combine like terms: 27glox + -27glox = 0 54glo + -18glox = 0 Factor out the Greatest Common Factor (GCF), '18glo'. 18glo(3 + -1x) = 0 Ignore the factor 18.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 '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing g to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Add 'x' to each side of the equation. -1x + x = -3 + x Combine like terms: -1x + x = 0 0 = -3 + x Simplifying 0 = -3 + x 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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