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Simplifying 2log[3](x + 6) = log[3] * 9 + 2 Reorder the terms: 2glo * 3(6 + x) = log[3] * 9 + 2 Reorder the terms for easier multiplication: 2 * 3glo(6 + x) = log[3] * 9 + 2 Multiply 2 * 3 6glo(6 + x) = log[3] * 9 + 2 (6 * 6glo + x * 6glo) = log[3] * 9 + 2 (36glo + 6glox) = log[3] * 9 + 2 Reorder the terms for easier multiplication: 36glo + 6glox = 3 * 9glo + 2 Multiply 3 * 9 36glo + 6glox = 27glo + 2 Reorder the terms: 36glo + 6glox = 2 + 27glo Solving 36glo + 6glox = 2 + 27glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-27glo' to each side of the equation. 36glo + -27glo + 6glox = 2 + 27glo + -27glo Combine like terms: 36glo + -27glo = 9glo 9glo + 6glox = 2 + 27glo + -27glo Combine like terms: 27glo + -27glo = 0 9glo + 6glox = 2 + 0 9glo + 6glox = 2 Reorder the terms: -2 + 9glo + 6glox = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 9glo + 6glox = 0 The solution to this equation could not be determined.
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