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Simplifying log[3](x + 4) + -1log[3](x + -2) = 3 Reorder the terms: glo * 3(4 + x) + -1log[3](x + -2) = 3 Reorder the terms for easier multiplication: 3glo(4 + x) + -1log[3](x + -2) = 3 (4 * 3glo + x * 3glo) + -1log[3](x + -2) = 3 (12glo + 3glox) + -1log[3](x + -2) = 3 Reorder the terms: 12glo + 3glox + -1glo * 3(-2 + x) = 3 Reorder the terms for easier multiplication: 12glo + 3glox + -1 * 3glo(-2 + x) = 3 Multiply -1 * 3 12glo + 3glox + -3glo(-2 + x) = 3 12glo + 3glox + (-2 * -3glo + x * -3glo) = 3 12glo + 3glox + (6glo + -3glox) = 3 Reorder the terms: 12glo + 6glo + 3glox + -3glox = 3 Combine like terms: 12glo + 6glo = 18glo 18glo + 3glox + -3glox = 3 Combine like terms: 3glox + -3glox = 0 18glo + 0 = 3 18glo = 3 Solving 18glo = 3 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by '18lo'. g = 0.1666666667l-1o-1 Simplifying g = 0.1666666667l-1o-1
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