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Simplifying log(2x + 1) = 2 + log(x + -2) Reorder the terms: glo(1 + 2x) = 2 + log(x + -2) (1 * glo + 2x * glo) = 2 + log(x + -2) (1glo + 2glox) = 2 + log(x + -2) Reorder the terms: 1glo + 2glox = 2 + glo(-2 + x) 1glo + 2glox = 2 + (-2 * glo + x * glo) 1glo + 2glox = 2 + (-2glo + glox) Solving 1glo + 2glox = 2 + -2glo + glox 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 + 2glox = 2 + -2glo + 2glo + glox Combine like terms: 1glo + 2glo = 3glo 3glo + 2glox = 2 + -2glo + 2glo + glox Combine like terms: -2glo + 2glo = 0 3glo + 2glox = 2 + 0 + glox 3glo + 2glox = 2 + glox Add '-1glox' to each side of the equation. 3glo + 2glox + -1glox = 2 + glox + -1glox Combine like terms: 2glox + -1glox = 1glox 3glo + 1glox = 2 + glox + -1glox Combine like terms: glox + -1glox = 0 3glo + 1glox = 2 + 0 3glo + 1glox = 2 Reorder the terms: -2 + 3glo + 1glox = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 3glo + 1glox = 0 The solution to this equation could not be determined.
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