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