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Simplifying log[9](x + 6) + -1log[9](x) = log[9](2) Reorder the terms: glo * 9(6 + x) + -1log[9](x) = log[9](2) Reorder the terms for easier multiplication: 9glo(6 + x) + -1log[9](x) = log[9](2) (6 * 9glo + x * 9glo) + -1log[9](x) = log[9](2) (54glo + 9glox) + -1log[9](x) = log[9](2) Reorder the terms for easier multiplication: 54glo + 9glox + -1 * 9glo * x = log[9](2) Multiply -1 * 9 54glo + 9glox + -9glo * x = log[9](2) Multiply glo * x 54glo + 9glox + -9glox = log[9](2) Combine like terms: 9glox + -9glox = 0 54glo + 0 = log[9](2) 54glo = log[9](2) Reorder the terms for easier multiplication: 54glo = 9 * 2glo Multiply 9 * 2 54glo = 18glo Solving 54glo = 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. 54glo + -18glo = 18glo + -18glo Combine like terms: 54glo + -18glo = 36glo 36glo = 18glo + -18glo Combine like terms: 18glo + -18glo = 0 36glo = 0 Divide each side by '36'. glo = 0 Simplifying glo = 0 The solution to this equation could not be determined.
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