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Simplifying log[2](x2 + -7x + 12) + -1log[2](2x + -10) = 3 Reorder the terms: glo * 2(12 + -7x + x2) + -1log[2](2x + -10) = 3 Reorder the terms for easier multiplication: 2glo(12 + -7x + x2) + -1log[2](2x + -10) = 3 (12 * 2glo + -7x * 2glo + x2 * 2glo) + -1log[2](2x + -10) = 3 (24glo + -14glox + 2glox2) + -1log[2](2x + -10) = 3 Reorder the terms: 24glo + -14glox + 2glox2 + -1glo * 2(-10 + 2x) = 3 Reorder the terms for easier multiplication: 24glo + -14glox + 2glox2 + -1 * 2glo(-10 + 2x) = 3 Multiply -1 * 2 24glo + -14glox + 2glox2 + -2glo(-10 + 2x) = 3 24glo + -14glox + 2glox2 + (-10 * -2glo + 2x * -2glo) = 3 24glo + -14glox + 2glox2 + (20glo + -4glox) = 3 Reorder the terms: 24glo + 20glo + -14glox + -4glox + 2glox2 = 3 Combine like terms: 24glo + 20glo = 44glo 44glo + -14glox + -4glox + 2glox2 = 3 Combine like terms: -14glox + -4glox = -18glox 44glo + -18glox + 2glox2 = 3 Solving 44glo + -18glox + 2glox2 = 3 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -3 + 44glo + -18glox + 2glox2 = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + 44glo + -18glox + 2glox2 = 0 The solution to this equation could not be determined.
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