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