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Simplifying log(4)(x + 1) + -1log(4) * x = 2 Reorder the terms: glo * 4(1 + x) + -1log(4) * x = 2 Reorder the terms for easier multiplication: 4glo(1 + x) + -1log(4) * x = 2 (1 * 4glo + x * 4glo) + -1log(4) * x = 2 (4glo + 4glox) + -1log(4) * x = 2 Reorder the terms for easier multiplication: 4glo + 4glox + -1 * 4glo * x = 2 Multiply -1 * 4 4glo + 4glox + -4glo * x = 2 Multiply glo * x 4glo + 4glox + -4glox = 2 Combine like terms: 4glox + -4glox = 0 4glo + 0 = 2 4glo = 2 Solving 4glo = 2 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by '4lo'. g = 0.5l-1o-1 Simplifying g = 0.5l-1o-1
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