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Simplifying log(x + -4) + log(x + 4) = 2log(x + 2) Reorder the terms: glo(-4 + x) + log(x + 4) = 2log(x + 2) (-4 * glo + x * glo) + log(x + 4) = 2log(x + 2) (-4glo + glox) + log(x + 4) = 2log(x + 2) Reorder the terms: -4glo + glox + glo(4 + x) = 2log(x + 2) -4glo + glox + (4 * glo + x * glo) = 2log(x + 2) -4glo + glox + (4glo + glox) = 2log(x + 2) Reorder the terms: -4glo + 4glo + glox + glox = 2log(x + 2) Combine like terms: -4glo + 4glo = 0 0 + glox + glox = 2log(x + 2) glox + glox = 2log(x + 2) Combine like terms: glox + glox = 2glox 2glox = 2log(x + 2) Reorder the terms: 2glox = 2glo(2 + x) 2glox = (2 * 2glo + x * 2glo) 2glox = (4glo + 2glox) Add '-2glox' to each side of the equation. 2glox + -2glox = 4glo + 2glox + -2glox Combine like terms: 2glox + -2glox = 0 0 = 4glo + 2glox + -2glox Combine like terms: 2glox + -2glox = 0 0 = 4glo + 0 0 = 4glo Solving 0 = 4glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-4glo' to each side of the equation. 0 + -4glo = 4glo + -4glo Remove the zero: -4glo = 4glo + -4glo Combine like terms: 4glo + -4glo = 0 -4glo = 0 Divide each side by '-4'. glo = 0 Simplifying glo = 0 The solution to this equation could not be determined.
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