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Simplifying log(x + 1) = 2 + log(x + -1) Reorder the terms: glo(1 + x) = 2 + log(x + -1) (1 * glo + x * glo) = 2 + log(x + -1) (1glo + glox) = 2 + log(x + -1) Reorder the terms: 1glo + glox = 2 + glo(-1 + x) 1glo + glox = 2 + (-1 * glo + x * glo) 1glo + glox = 2 + (-1glo + glox) Add '-1glox' to each side of the equation. 1glo + glox + -1glox = 2 + -1glo + glox + -1glox Combine like terms: glox + -1glox = 0 1glo + 0 = 2 + -1glo + glox + -1glox 1glo = 2 + -1glo + glox + -1glox Combine like terms: glox + -1glox = 0 1glo = 2 + -1glo + 0 1glo = 2 + -1glo Solving 1glo = 2 + -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. 1glo + glo = 2 + -1glo + glo Combine like terms: 1glo + glo = 2glo 2glo = 2 + -1glo + glo Combine like terms: -1glo + glo = 0 2glo = 2 + 0 2glo = 2 Divide each side by '2lo'. g = l-1o-1 Simplifying g = l-1o-1
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