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Simplifying log(x + 3) + log(x + -5) = 2log(x + -6) Reorder the terms: glo(3 + x) + log(x + -5) = 2log(x + -6) (3 * glo + x * glo) + log(x + -5) = 2log(x + -6) (3glo + glox) + log(x + -5) = 2log(x + -6) Reorder the terms: 3glo + glox + glo(-5 + x) = 2log(x + -6) 3glo + glox + (-5 * glo + x * glo) = 2log(x + -6) 3glo + glox + (-5glo + glox) = 2log(x + -6) Reorder the terms: 3glo + -5glo + glox + glox = 2log(x + -6) Combine like terms: 3glo + -5glo = -2glo -2glo + glox + glox = 2log(x + -6) Combine like terms: glox + glox = 2glox -2glo + 2glox = 2log(x + -6) Reorder the terms: -2glo + 2glox = 2glo(-6 + x) -2glo + 2glox = (-6 * 2glo + x * 2glo) -2glo + 2glox = (-12glo + 2glox) Add '-2glox' to each side of the equation. -2glo + 2glox + -2glox = -12glo + 2glox + -2glox Combine like terms: 2glox + -2glox = 0 -2glo + 0 = -12glo + 2glox + -2glox -2glo = -12glo + 2glox + -2glox Combine like terms: 2glox + -2glox = 0 -2glo = -12glo + 0 -2glo = -12glo Solving -2glo = -12glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '12glo' to each side of the equation. -2glo + 12glo = -12glo + 12glo Combine like terms: -2glo + 12glo = 10glo 10glo = -12glo + 12glo Combine like terms: -12glo + 12glo = 0 10glo = 0 Divide each side by '10'. glo = 0.0 Simplifying glo = 0.0 The solution to this equation could not be determined.
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