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Simplifying log(x + -2) + -1log(x + -4) = 1 + -1log(13 + -1x) Reorder the terms: glo(-2 + x) + -1log(x + -4) = 1 + -1log(13 + -1x) (-2 * glo + x * glo) + -1log(x + -4) = 1 + -1log(13 + -1x) (-2glo + glox) + -1log(x + -4) = 1 + -1log(13 + -1x) Reorder the terms: -2glo + glox + -1glo(-4 + x) = 1 + -1log(13 + -1x) -2glo + glox + (-4 * -1glo + x * -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 = 2glo 2glo + glox + -1glox = 1 + -1log(13 + -1x) Combine like terms: glox + -1glox = 0 2glo + 0 = 1 + -1log(13 + -1x) 2glo = 1 + -1log(13 + -1x) 2glo = 1 + (13 * -1glo + -1x * -1glo) 2glo = 1 + (-13glo + 1glox) Solving 2glo = 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. 2glo + 13glo = 1 + -13glo + 13glo + 1glox Combine like terms: 2glo + 13glo = 15glo 15glo = 1 + -13glo + 13glo + 1glox Combine like terms: -13glo + 13glo = 0 15glo = 1 + 0 + 1glox 15glo = 1 + 1glox Add '-1glox' to each side of the equation. 15glo + -1glox = 1 + 1glox + -1glox Combine like terms: 1glox + -1glox = 0 15glo + -1glox = 1 + 0 15glo + -1glox = 1 Reorder the terms: -1 + 15glo + -1glox = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 15glo + -1glox = 0 The solution to this equation could not be determined.
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