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