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Simplifying log(2x + 1) = 1 + log(x + -1) Reorder the terms: glo(1 + 2x) = 1 + log(x + -1) (1 * glo + 2x * glo) = 1 + log(x + -1) (1glo + 2glox) = 1 + log(x + -1) Reorder the terms: 1glo + 2glox = 1 + glo(-1 + x) 1glo + 2glox = 1 + (-1 * glo + x * glo) 1glo + 2glox = 1 + (-1glo + glox) Solving 1glo + 2glox = 1 + -1glo + glox 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 + 2glox = 1 + -1glo + glo + glox Combine like terms: 1glo + glo = 2glo 2glo + 2glox = 1 + -1glo + glo + glox Combine like terms: -1glo + glo = 0 2glo + 2glox = 1 + 0 + glox 2glo + 2glox = 1 + glox Add '-1glox' to each side of the equation. 2glo + 2glox + -1glox = 1 + glox + -1glox Combine like terms: 2glox + -1glox = 1glox 2glo + 1glox = 1 + glox + -1glox Combine like terms: glox + -1glox = 0 2glo + 1glox = 1 + 0 2glo + 1glox = 1 Reorder the terms: -1 + 2glo + 1glox = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 2glo + 1glox = 0 The solution to this equation could not be determined.
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