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Simplifying log(3)(x + 12) + -1log(3)(x + -0.4) = 2 Reorder the terms: glo * 3(12 + x) + -1log(3)(x + -0.4) = 2 Reorder the terms for easier multiplication: 3glo(12 + x) + -1log(3)(x + -0.4) = 2 (12 * 3glo + x * 3glo) + -1log(3)(x + -0.4) = 2 (36glo + 3glox) + -1log(3)(x + -0.4) = 2 Reorder the terms: 36glo + 3glox + -1glo * 3(-0.4 + x) = 2 Reorder the terms for easier multiplication: 36glo + 3glox + -1 * 3glo(-0.4 + x) = 2 Multiply -1 * 3 36glo + 3glox + -3glo(-0.4 + x) = 2 36glo + 3glox + (-0.4 * -3glo + x * -3glo) = 2 36glo + 3glox + (1.2glo + -3glox) = 2 Reorder the terms: 36glo + 1.2glo + 3glox + -3glox = 2 Combine like terms: 36glo + 1.2glo = 37.2glo 37.2glo + 3glox + -3glox = 2 Combine like terms: 3glox + -3glox = 0 37.2glo + 0 = 2 37.2glo = 2 Solving 37.2glo = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by '37.2lo'. g = 0.05376344086l-1o-1 Simplifying g = 0.05376344086l-1o-1
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