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Simplifying log(x + 1) = log(x + -2) + 1 Reorder the terms: glo(1 + x) = log(x + -2) + 1 (1 * glo + x * glo) = log(x + -2) + 1 (1glo + glox) = log(x + -2) + 1 Reorder the terms: 1glo + glox = glo(-2 + x) + 1 1glo + glox = (-2 * glo + x * glo) + 1 1glo + glox = (-2glo + glox) + 1 Reorder the terms: 1glo + glox = 1 + -2glo + glox Add '-1glox' to each side of the equation. 1glo + glox + -1glox = 1 + -2glo + glox + -1glox Combine like terms: glox + -1glox = 0 1glo + 0 = 1 + -2glo + glox + -1glox 1glo = 1 + -2glo + glox + -1glox Combine like terms: glox + -1glox = 0 1glo = 1 + -2glo + 0 1glo = 1 + -2glo Solving 1glo = 1 + -2glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '2glo' to each side of the equation. 1glo + 2glo = 1 + -2glo + 2glo Combine like terms: 1glo + 2glo = 3glo 3glo = 1 + -2glo + 2glo Combine like terms: -2glo + 2glo = 0 3glo = 1 + 0 3glo = 1 Divide each side by '3lo'. g = 0.3333333333l-1o-1 Simplifying g = 0.3333333333l-1o-1
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