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Simplifying log(x + -2) + log(x + -4) = log(2x + 3) Reorder the terms: glo(-2 + x) + log(x + -4) = log(2x + 3) (-2 * glo + x * glo) + log(x + -4) = log(2x + 3) (-2glo + glox) + log(x + -4) = log(2x + 3) Reorder the terms: -2glo + glox + glo(-4 + x) = log(2x + 3) -2glo + glox + (-4 * glo + x * glo) = log(2x + 3) -2glo + glox + (-4glo + glox) = log(2x + 3) Reorder the terms: -2glo + -4glo + glox + glox = log(2x + 3) Combine like terms: -2glo + -4glo = -6glo -6glo + glox + glox = log(2x + 3) Combine like terms: glox + glox = 2glox -6glo + 2glox = log(2x + 3) Reorder the terms: -6glo + 2glox = glo(3 + 2x) -6glo + 2glox = (3 * glo + 2x * glo) -6glo + 2glox = (3glo + 2glox) Add '-2glox' to each side of the equation. -6glo + 2glox + -2glox = 3glo + 2glox + -2glox Combine like terms: 2glox + -2glox = 0 -6glo + 0 = 3glo + 2glox + -2glox -6glo = 3glo + 2glox + -2glox Combine like terms: 2glox + -2glox = 0 -6glo = 3glo + 0 -6glo = 3glo Solving -6glo = 3glo 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. -6glo + -3glo = 3glo + -3glo Combine like terms: -6glo + -3glo = -9glo -9glo = 3glo + -3glo Combine like terms: 3glo + -3glo = 0 -9glo = 0 Divide each side by '-9'. glo = 0 Simplifying glo = 0 The solution to this equation could not be determined.
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