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Simplifying log(10)(x + 1) + -1log(10)(x + -1) = 1 Reorder the terms: glo * 10(1 + x) + -1log(10)(x + -1) = 1 Reorder the terms for easier multiplication: 10glo(1 + x) + -1log(10)(x + -1) = 1 (1 * 10glo + x * 10glo) + -1log(10)(x + -1) = 1 (10glo + 10glox) + -1log(10)(x + -1) = 1 Reorder the terms: 10glo + 10glox + -1glo * 10(-1 + x) = 1 Reorder the terms for easier multiplication: 10glo + 10glox + -1 * 10glo(-1 + x) = 1 Multiply -1 * 10 10glo + 10glox + -10glo(-1 + x) = 1 10glo + 10glox + (-1 * -10glo + x * -10glo) = 1 10glo + 10glox + (10glo + -10glox) = 1 Reorder the terms: 10glo + 10glo + 10glox + -10glox = 1 Combine like terms: 10glo + 10glo = 20glo 20glo + 10glox + -10glox = 1 Combine like terms: 10glox + -10glox = 0 20glo + 0 = 1 20glo = 1 Solving 20glo = 1 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Divide each side by '20lo'. g = 0.05l-1o-1 Simplifying g = 0.05l-1o-1
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