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Simplifying log(2x + 1) + log(x + -2) = log(0.001) Reorder the terms: glo(1 + 2x) + log(x + -2) = log(0.001) (1 * glo + 2x * glo) + log(x + -2) = log(0.001) (1glo + 2glox) + log(x + -2) = log(0.001) Reorder the terms: 1glo + 2glox + glo(-2 + x) = log(0.001) 1glo + 2glox + (-2 * glo + x * glo) = log(0.001) 1glo + 2glox + (-2glo + glox) = log(0.001) Reorder the terms: 1glo + -2glo + 2glox + glox = log(0.001) Combine like terms: 1glo + -2glo = -1glo -1glo + 2glox + glox = log(0.001) Combine like terms: 2glox + glox = 3glox -1glo + 3glox = log(0.001) Reorder the terms for easier multiplication: -1glo + 3glox = 0.001glo Solving -1glo + 3glox = 0.001glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-0.001glo' to each side of the equation. -1glo + -0.001glo + 3glox = 0.001glo + -0.001glo Combine like terms: -1glo + -0.001glo = -1.001glo -1.001glo + 3glox = 0.001glo + -0.001glo Combine like terms: 0.001glo + -0.001glo = 0.000 -1.001glo + 3glox = 0.000 The solution to this equation could not be determined.
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