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Simplifying log[4](x + 2) + -1log[4](x + -1) = 1 Reorder the terms: glo * 4(2 + x) + -1log[4](x + -1) = 1 Reorder the terms for easier multiplication: 4glo(2 + x) + -1log[4](x + -1) = 1 (2 * 4glo + x * 4glo) + -1log[4](x + -1) = 1 (8glo + 4glox) + -1log[4](x + -1) = 1 Reorder the terms: 8glo + 4glox + -1glo * 4(-1 + x) = 1 Reorder the terms for easier multiplication: 8glo + 4glox + -1 * 4glo(-1 + x) = 1 Multiply -1 * 4 8glo + 4glox + -4glo(-1 + x) = 1 8glo + 4glox + (-1 * -4glo + x * -4glo) = 1 8glo + 4glox + (4glo + -4glox) = 1 Reorder the terms: 8glo + 4glo + 4glox + -4glox = 1 Combine like terms: 8glo + 4glo = 12glo 12glo + 4glox + -4glox = 1 Combine like terms: 4glox + -4glox = 0 12glo + 0 = 1 12glo = 1 Solving 12glo = 1 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by '12lo'. g = 0.08333333333l-1o-1 Simplifying g = 0.08333333333l-1o-1
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