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Simplifying log(2x + -1) + -1log(x + 2) = log(x + -2) Reorder the terms: glo(-1 + 2x) + -1log(x + 2) = log(x + -2) (-1 * glo + 2x * glo) + -1log(x + 2) = log(x + -2) (-1glo + 2glox) + -1log(x + 2) = log(x + -2) Reorder the terms: -1glo + 2glox + -1glo(2 + x) = log(x + -2) -1glo + 2glox + (2 * -1glo + x * -1glo) = log(x + -2) -1glo + 2glox + (-2glo + -1glox) = log(x + -2) Reorder the terms: -1glo + -2glo + 2glox + -1glox = log(x + -2) Combine like terms: -1glo + -2glo = -3glo -3glo + 2glox + -1glox = log(x + -2) Combine like terms: 2glox + -1glox = 1glox -3glo + 1glox = log(x + -2) Reorder the terms: -3glo + 1glox = glo(-2 + x) -3glo + 1glox = (-2 * glo + x * glo) -3glo + 1glox = (-2glo + glox) Solving -3glo + 1glox = -2glo + glox 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. -3glo + 2glo + 1glox = -2glo + 2glo + glox Combine like terms: -3glo + 2glo = -1glo -1glo + 1glox = -2glo + 2glo + glox Combine like terms: -2glo + 2glo = 0 -1glo + 1glox = 0 + glox -1glo + 1glox = glox Add '-1glox' to each side of the equation. -1glo + 1glox + -1glox = glox + -1glox Combine like terms: 1glox + -1glox = 0 -1glo + 0 = glox + -1glox -1glo = glox + -1glox Combine like terms: glox + -1glox = 0 -1glo = 0 Divide each side by '-1'. glo = 0 Simplifying glo = 0 The solution to this equation could not be determined.
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