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Simplifying log(x + -10) = 2 + -1log(x + -1) Reorder the terms: glo(-10 + x) = 2 + -1log(x + -1) (-10 * glo + x * glo) = 2 + -1log(x + -1) (-10glo + glox) = 2 + -1log(x + -1) Reorder the terms: -10glo + glox = 2 + -1glo(-1 + x) -10glo + glox = 2 + (-1 * -1glo + x * -1glo) -10glo + glox = 2 + (1glo + -1glox) Solving -10glo + glox = 2 + 1glo + -1glox 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. -10glo + -1glo + glox = 2 + 1glo + -1glo + -1glox Combine like terms: -10glo + -1glo = -11glo -11glo + glox = 2 + 1glo + -1glo + -1glox Combine like terms: 1glo + -1glo = 0 -11glo + glox = 2 + 0 + -1glox -11glo + glox = 2 + -1glox Add 'glox' to each side of the equation. -11glo + glox + glox = 2 + -1glox + glox Combine like terms: glox + glox = 2glox -11glo + 2glox = 2 + -1glox + glox Combine like terms: -1glox + glox = 0 -11glo + 2glox = 2 + 0 -11glo + 2glox = 2 Reorder the terms: -2 + -11glo + 2glox = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + -11glo + 2glox = 0 The solution to this equation could not be determined.
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