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Simplifying 2log(2x + 1) + -1log(x + -1) = 2 + -1log(x + 2) Reorder the terms: 2glo(1 + 2x) + -1log(x + -1) = 2 + -1log(x + 2) (1 * 2glo + 2x * 2glo) + -1log(x + -1) = 2 + -1log(x + 2) (2glo + 4glox) + -1log(x + -1) = 2 + -1log(x + 2) Reorder the terms: 2glo + 4glox + -1glo(-1 + x) = 2 + -1log(x + 2) 2glo + 4glox + (-1 * -1glo + x * -1glo) = 2 + -1log(x + 2) 2glo + 4glox + (1glo + -1glox) = 2 + -1log(x + 2) Reorder the terms: 2glo + 1glo + 4glox + -1glox = 2 + -1log(x + 2) Combine like terms: 2glo + 1glo = 3glo 3glo + 4glox + -1glox = 2 + -1log(x + 2) Combine like terms: 4glox + -1glox = 3glox 3glo + 3glox = 2 + -1log(x + 2) Reorder the terms: 3glo + 3glox = 2 + -1glo(2 + x) 3glo + 3glox = 2 + (2 * -1glo + x * -1glo) 3glo + 3glox = 2 + (-2glo + -1glox) Solving 3glo + 3glox = 2 + -2glo + -1glox 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. 3glo + 2glo + 3glox = 2 + -2glo + 2glo + -1glox Combine like terms: 3glo + 2glo = 5glo 5glo + 3glox = 2 + -2glo + 2glo + -1glox Combine like terms: -2glo + 2glo = 0 5glo + 3glox = 2 + 0 + -1glox 5glo + 3glox = 2 + -1glox Add 'glox' to each side of the equation. 5glo + 3glox + glox = 2 + -1glox + glox Combine like terms: 3glox + glox = 4glox 5glo + 4glox = 2 + -1glox + glox Combine like terms: -1glox + glox = 0 5glo + 4glox = 2 + 0 5glo + 4glox = 2 Reorder the terms: -2 + 5glo + 4glox = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 5glo + 4glox = 0 The solution to this equation could not be determined.
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