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Simplifying log(9)(2x + 4) + -1log(9)(x + -5) = log(9)(x + 2) Reorder the terms: glo * 9(4 + 2x) + -1log(9)(x + -5) = log(9)(x + 2) Reorder the terms for easier multiplication: 9glo(4 + 2x) + -1log(9)(x + -5) = log(9)(x + 2) (4 * 9glo + 2x * 9glo) + -1log(9)(x + -5) = log(9)(x + 2) (36glo + 18glox) + -1log(9)(x + -5) = log(9)(x + 2) Reorder the terms: 36glo + 18glox + -1glo * 9(-5 + x) = log(9)(x + 2) Reorder the terms for easier multiplication: 36glo + 18glox + -1 * 9glo(-5 + x) = log(9)(x + 2) Multiply -1 * 9 36glo + 18glox + -9glo(-5 + x) = log(9)(x + 2) 36glo + 18glox + (-5 * -9glo + x * -9glo) = log(9)(x + 2) 36glo + 18glox + (45glo + -9glox) = log(9)(x + 2) Reorder the terms: 36glo + 45glo + 18glox + -9glox = log(9)(x + 2) Combine like terms: 36glo + 45glo = 81glo 81glo + 18glox + -9glox = log(9)(x + 2) Combine like terms: 18glox + -9glox = 9glox 81glo + 9glox = log(9)(x + 2) Reorder the terms: 81glo + 9glox = glo * 9(2 + x) Reorder the terms for easier multiplication: 81glo + 9glox = 9glo(2 + x) 81glo + 9glox = (2 * 9glo + x * 9glo) 81glo + 9glox = (18glo + 9glox) Add '-9glox' to each side of the equation. 81glo + 9glox + -9glox = 18glo + 9glox + -9glox Combine like terms: 9glox + -9glox = 0 81glo + 0 = 18glo + 9glox + -9glox 81glo = 18glo + 9glox + -9glox Combine like terms: 9glox + -9glox = 0 81glo = 18glo + 0 81glo = 18glo Solving 81glo = 18glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-18glo' to each side of the equation. 81glo + -18glo = 18glo + -18glo Combine like terms: 81glo + -18glo = 63glo 63glo = 18glo + -18glo Combine like terms: 18glo + -18glo = 0 63glo = 0 Divide each side by '63'. glo = 0 Simplifying glo = 0 The solution to this equation could not be determined.
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