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Simplifying log(x + 5) + log(x + -1) = log(2x + 3) Reorder the terms: glo(5 + x) + log(x + -1) = log(2x + 3) (5 * glo + x * glo) + log(x + -1) = log(2x + 3) (5glo + glox) + log(x + -1) = log(2x + 3) Reorder the terms: 5glo + glox + glo(-1 + x) = log(2x + 3) 5glo + glox + (-1 * glo + x * glo) = log(2x + 3) 5glo + glox + (-1glo + glox) = log(2x + 3) Reorder the terms: 5glo + -1glo + glox + glox = log(2x + 3) Combine like terms: 5glo + -1glo = 4glo 4glo + glox + glox = log(2x + 3) Combine like terms: glox + glox = 2glox 4glo + 2glox = log(2x + 3) Reorder the terms: 4glo + 2glox = glo(3 + 2x) 4glo + 2glox = (3 * glo + 2x * glo) 4glo + 2glox = (3glo + 2glox) Add '-2glox' to each side of the equation. 4glo + 2glox + -2glox = 3glo + 2glox + -2glox Combine like terms: 2glox + -2glox = 0 4glo + 0 = 3glo + 2glox + -2glox 4glo = 3glo + 2glox + -2glox Combine like terms: 2glox + -2glox = 0 4glo = 3glo + 0 4glo = 3glo Solving 4glo = 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. 4glo + -3glo = 3glo + -3glo Combine like terms: 4glo + -3glo = 1glo 1glo = 3glo + -3glo Combine like terms: 3glo + -3glo = 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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