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Simplifying log(x + -2) + -1log(4 + -1x) = 1 + -1log(13 + -1x) Reorder the terms: glo(-2 + x) + -1log(4 + -1x) = 1 + -1log(13 + -1x) (-2 * glo + x * glo) + -1log(4 + -1x) = 1 + -1log(13 + -1x) (-2glo + glox) + -1log(4 + -1x) = 1 + -1log(13 + -1x) -2glo + glox + (4 * -1glo + -1x * -1glo) = 1 + -1log(13 + -1x) -2glo + glox + (-4glo + 1glox) = 1 + -1log(13 + -1x) Reorder the terms: -2glo + -4glo + glox + 1glox = 1 + -1log(13 + -1x) Combine like terms: -2glo + -4glo = -6glo -6glo + glox + 1glox = 1 + -1log(13 + -1x) Combine like terms: glox + 1glox = 2glox -6glo + 2glox = 1 + -1log(13 + -1x) -6glo + 2glox = 1 + (13 * -1glo + -1x * -1glo) -6glo + 2glox = 1 + (-13glo + 1glox) Solving -6glo + 2glox = 1 + -13glo + 1glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '13glo' to each side of the equation. -6glo + 13glo + 2glox = 1 + -13glo + 13glo + 1glox Combine like terms: -6glo + 13glo = 7glo 7glo + 2glox = 1 + -13glo + 13glo + 1glox Combine like terms: -13glo + 13glo = 0 7glo + 2glox = 1 + 0 + 1glox 7glo + 2glox = 1 + 1glox Add '-1glox' to each side of the equation. 7glo + 2glox + -1glox = 1 + 1glox + -1glox Combine like terms: 2glox + -1glox = 1glox 7glo + 1glox = 1 + 1glox + -1glox Combine like terms: 1glox + -1glox = 0 7glo + 1glox = 1 + 0 7glo + 1glox = 1 Reorder the terms: -1 + 7glo + 1glox = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 7glo + 1glox = 0 The solution to this equation could not be determined.
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