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