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Simplifying log(x + -1) + log(x + -2) = 2log(x + -3) Reorder the terms: glo(-1 + x) + log(x + -2) = 2log(x + -3) (-1 * glo + x * glo) + log(x + -2) = 2log(x + -3) (-1glo + glox) + log(x + -2) = 2log(x + -3) Reorder the terms: -1glo + glox + glo(-2 + x) = 2log(x + -3) -1glo + glox + (-2 * glo + x * glo) = 2log(x + -3) -1glo + glox + (-2glo + glox) = 2log(x + -3) Reorder the terms: -1glo + -2glo + glox + glox = 2log(x + -3) Combine like terms: -1glo + -2glo = -3glo -3glo + glox + glox = 2log(x + -3) Combine like terms: glox + glox = 2glox -3glo + 2glox = 2log(x + -3) Reorder the terms: -3glo + 2glox = 2glo(-3 + x) -3glo + 2glox = (-3 * 2glo + x * 2glo) -3glo + 2glox = (-6glo + 2glox) Add '-2glox' to each side of the equation. -3glo + 2glox + -2glox = -6glo + 2glox + -2glox Combine like terms: 2glox + -2glox = 0 -3glo + 0 = -6glo + 2glox + -2glox -3glo = -6glo + 2glox + -2glox Combine like terms: 2glox + -2glox = 0 -3glo = -6glo + 0 -3glo = -6glo Solving -3glo = -6glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '6glo' to each side of the equation. -3glo + 6glo = -6glo + 6glo Combine like terms: -3glo + 6glo = 3glo 3glo = -6glo + 6glo Combine like terms: -6glo + 6glo = 0 3glo = 0 Divide each side by '3'. glo = 0 Simplifying glo = 0 The solution to this equation could not be determined.
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