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Simplifying log(x) = log(2x + 1) + -1log(x + -2) Multiply glo * x glox = log(2x + 1) + -1log(x + -2) Reorder the terms: glox = glo(1 + 2x) + -1log(x + -2) glox = (1 * glo + 2x * glo) + -1log(x + -2) glox = (1glo + 2glox) + -1log(x + -2) Reorder the terms: glox = 1glo + 2glox + -1glo(-2 + x) glox = 1glo + 2glox + (-2 * -1glo + x * -1glo) glox = 1glo + 2glox + (2glo + -1glox) Reorder the terms: glox = 1glo + 2glo + 2glox + -1glox Combine like terms: 1glo + 2glo = 3glo glox = 3glo + 2glox + -1glox Combine like terms: 2glox + -1glox = 1glox glox = 3glo + 1glox Solving glox = 3glo + 1glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-3glo' to each side of the equation. -3glo + glox = 3glo + -3glo + 1glox Combine like terms: 3glo + -3glo = 0 -3glo + glox = 0 + 1glox -3glo + glox = 1glox Add '-1glox' to each side of the equation. -3glo + glox + -1glox = 1glox + -1glox Combine like terms: glox + -1glox = 0 -3glo + 0 = 1glox + -1glox -3glo = 1glox + -1glox Combine like terms: 1glox + -1glox = 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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