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Simplifying log[3](x + 15) + -1log[3](x + -1) = 2 Reorder the terms: glo * 3(15 + x) + -1log[3](x + -1) = 2 Reorder the terms for easier multiplication: 3glo(15 + x) + -1log[3](x + -1) = 2 (15 * 3glo + x * 3glo) + -1log[3](x + -1) = 2 (45glo + 3glox) + -1log[3](x + -1) = 2 Reorder the terms: 45glo + 3glox + -1glo * 3(-1 + x) = 2 Reorder the terms for easier multiplication: 45glo + 3glox + -1 * 3glo(-1 + x) = 2 Multiply -1 * 3 45glo + 3glox + -3glo(-1 + x) = 2 45glo + 3glox + (-1 * -3glo + x * -3glo) = 2 45glo + 3glox + (3glo + -3glox) = 2 Reorder the terms: 45glo + 3glo + 3glox + -3glox = 2 Combine like terms: 45glo + 3glo = 48glo 48glo + 3glox + -3glox = 2 Combine like terms: 3glox + -3glox = 0 48glo + 0 = 2 48glo = 2 Solving 48glo = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by '48lo'. g = 0.04166666667l-1o-1 Simplifying g = 0.04166666667l-1o-1
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