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Simplifying log(9)(x + 1) + -1log(9)(x + -3) = log(9)(15) Reorder the terms: glo * 9(1 + x) + -1log(9)(x + -3) = log(9)(15) Reorder the terms for easier multiplication: 9glo(1 + x) + -1log(9)(x + -3) = log(9)(15) (1 * 9glo + x * 9glo) + -1log(9)(x + -3) = log(9)(15) (9glo + 9glox) + -1log(9)(x + -3) = log(9)(15) Reorder the terms: 9glo + 9glox + -1glo * 9(-3 + x) = log(9)(15) Reorder the terms for easier multiplication: 9glo + 9glox + -1 * 9glo(-3 + x) = log(9)(15) Multiply -1 * 9 9glo + 9glox + -9glo(-3 + x) = log(9)(15) 9glo + 9glox + (-3 * -9glo + x * -9glo) = log(9)(15) 9glo + 9glox + (27glo + -9glox) = log(9)(15) Reorder the terms: 9glo + 27glo + 9glox + -9glox = log(9)(15) Combine like terms: 9glo + 27glo = 36glo 36glo + 9glox + -9glox = log(9)(15) Combine like terms: 9glox + -9glox = 0 36glo + 0 = log(9)(15) 36glo = log(9)(15) Reorder the terms for easier multiplication: 36glo = 9 * 15glo Multiply 9 * 15 36glo = 135glo Solving 36glo = 135glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-135glo' to each side of the equation. 36glo + -135glo = 135glo + -135glo Combine like terms: 36glo + -135glo = -99glo -99glo = 135glo + -135glo Combine like terms: 135glo + -135glo = 0 -99glo = 0 Divide each side by '-99'. glo = 0 Simplifying glo = 0 The solution to this equation could not be determined.
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