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