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Simplifying log[3](x + 19) + -1log[3](x + -7) = 3 Reorder the terms: glo * 3(19 + x) + -1log[3](x + -7) = 3 Reorder the terms for easier multiplication: 3glo(19 + x) + -1log[3](x + -7) = 3 (19 * 3glo + x * 3glo) + -1log[3](x + -7) = 3 (57glo + 3glox) + -1log[3](x + -7) = 3 Reorder the terms: 57glo + 3glox + -1glo * 3(-7 + x) = 3 Reorder the terms for easier multiplication: 57glo + 3glox + -1 * 3glo(-7 + x) = 3 Multiply -1 * 3 57glo + 3glox + -3glo(-7 + x) = 3 57glo + 3glox + (-7 * -3glo + x * -3glo) = 3 57glo + 3glox + (21glo + -3glox) = 3 Reorder the terms: 57glo + 21glo + 3glox + -3glox = 3 Combine like terms: 57glo + 21glo = 78glo 78glo + 3glox + -3glox = 3 Combine like terms: 3glox + -3glox = 0 78glo + 0 = 3 78glo = 3 Solving 78glo = 3 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by '78lo'. g = 0.03846153846l-1o-1 Simplifying g = 0.03846153846l-1o-1
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