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Simplifying log[9](x + -2) + -1log[9](x + -3) = log[9](6) Reorder the terms: glo * 9(-2 + x) + -1log[9](x + -3) = log[9](6) Reorder the terms for easier multiplication: 9glo(-2 + x) + -1log[9](x + -3) = log[9](6) (-2 * 9glo + x * 9glo) + -1log[9](x + -3) = log[9](6) (-18glo + 9glox) + -1log[9](x + -3) = log[9](6) Reorder the terms: -18glo + 9glox + -1glo * 9(-3 + x) = log[9](6) Reorder the terms for easier multiplication: -18glo + 9glox + -1 * 9glo(-3 + x) = log[9](6) Multiply -1 * 9 -18glo + 9glox + -9glo(-3 + x) = log[9](6) -18glo + 9glox + (-3 * -9glo + x * -9glo) = log[9](6) -18glo + 9glox + (27glo + -9glox) = log[9](6) Reorder the terms: -18glo + 27glo + 9glox + -9glox = log[9](6) Combine like terms: -18glo + 27glo = 9glo 9glo + 9glox + -9glox = log[9](6) Combine like terms: 9glox + -9glox = 0 9glo + 0 = log[9](6) 9glo = log[9](6) Reorder the terms for easier multiplication: 9glo = 9 * 6glo Multiply 9 * 6 9glo = 54glo Solving 9glo = 54glo 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. 9glo + -54glo = 54glo + -54glo Combine like terms: 9glo + -54glo = -45glo -45glo = 54glo + -54glo Combine like terms: 54glo + -54glo = 0 -45glo = 0 Divide each side by '-45'. glo = 0 Simplifying glo = 0 The solution to this equation could not be determined.
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