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Simplifying log[2](3x + 12) + -1log[2](2x + -5) = 3 Reorder the terms: glo * 2(12 + 3x) + -1log[2](2x + -5) = 3 Reorder the terms for easier multiplication: 2glo(12 + 3x) + -1log[2](2x + -5) = 3 (12 * 2glo + 3x * 2glo) + -1log[2](2x + -5) = 3 (24glo + 6glox) + -1log[2](2x + -5) = 3 Reorder the terms: 24glo + 6glox + -1glo * 2(-5 + 2x) = 3 Reorder the terms for easier multiplication: 24glo + 6glox + -1 * 2glo(-5 + 2x) = 3 Multiply -1 * 2 24glo + 6glox + -2glo(-5 + 2x) = 3 24glo + 6glox + (-5 * -2glo + 2x * -2glo) = 3 24glo + 6glox + (10glo + -4glox) = 3 Reorder the terms: 24glo + 10glo + 6glox + -4glox = 3 Combine like terms: 24glo + 10glo = 34glo 34glo + 6glox + -4glox = 3 Combine like terms: 6glox + -4glox = 2glox 34glo + 2glox = 3 Solving 34glo + 2glox = 3 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Reorder the terms: -3 + 34glo + 2glox = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + 34glo + 2glox = 0 The solution to this equation could not be determined.
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