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Simplifying log(2)(x + 5) + -1log(2)(x + -2) = 3 Reorder the terms: glo * 2(5 + x) + -1log(2)(x + -2) = 3 Reorder the terms for easier multiplication: 2glo(5 + x) + -1log(2)(x + -2) = 3 (5 * 2glo + x * 2glo) + -1log(2)(x + -2) = 3 (10glo + 2glox) + -1log(2)(x + -2) = 3 Reorder the terms: 10glo + 2glox + -1glo * 2(-2 + x) = 3 Reorder the terms for easier multiplication: 10glo + 2glox + -1 * 2glo(-2 + x) = 3 Multiply -1 * 2 10glo + 2glox + -2glo(-2 + x) = 3 10glo + 2glox + (-2 * -2glo + x * -2glo) = 3 10glo + 2glox + (4glo + -2glox) = 3 Reorder the terms: 10glo + 4glo + 2glox + -2glox = 3 Combine like terms: 10glo + 4glo = 14glo 14glo + 2glox + -2glox = 3 Combine like terms: 2glox + -2glox = 0 14glo + 0 = 3 14glo = 3 Solving 14glo = 3 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by '14lo'. g = 0.2142857143l-1o-1 Simplifying g = 0.2142857143l-1o-1
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