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Simplifying log[3](x + 15) + -1log[3](x + -2) = 4 Reorder the terms: glo * 3(15 + x) + -1log[3](x + -2) = 4 Reorder the terms for easier multiplication: 3glo(15 + x) + -1log[3](x + -2) = 4 (15 * 3glo + x * 3glo) + -1log[3](x + -2) = 4 (45glo + 3glox) + -1log[3](x + -2) = 4 Reorder the terms: 45glo + 3glox + -1glo * 3(-2 + x) = 4 Reorder the terms for easier multiplication: 45glo + 3glox + -1 * 3glo(-2 + x) = 4 Multiply -1 * 3 45glo + 3glox + -3glo(-2 + x) = 4 45glo + 3glox + (-2 * -3glo + x * -3glo) = 4 45glo + 3glox + (6glo + -3glox) = 4 Reorder the terms: 45glo + 6glo + 3glox + -3glox = 4 Combine like terms: 45glo + 6glo = 51glo 51glo + 3glox + -3glox = 4 Combine like terms: 3glox + -3glox = 0 51glo + 0 = 4 51glo = 4 Solving 51glo = 4 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by '51lo'. g = 0.07843137255l-1o-1 Simplifying g = 0.07843137255l-1o-1
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