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Simplifying log(x2 + 9) + -1log(x + -3) = 3 + log(x + 3) Reorder the terms: glo(9 + x2) + -1log(x + -3) = 3 + log(x + 3) (9 * glo + x2 * glo) + -1log(x + -3) = 3 + log(x + 3) (9glo + glox2) + -1log(x + -3) = 3 + log(x + 3) Reorder the terms: 9glo + glox2 + -1glo(-3 + x) = 3 + log(x + 3) 9glo + glox2 + (-3 * -1glo + x * -1glo) = 3 + log(x + 3) 9glo + glox2 + (3glo + -1glox) = 3 + log(x + 3) Reorder the terms: 9glo + 3glo + -1glox + glox2 = 3 + log(x + 3) Combine like terms: 9glo + 3glo = 12glo 12glo + -1glox + glox2 = 3 + log(x + 3) Reorder the terms: 12glo + -1glox + glox2 = 3 + glo(3 + x) 12glo + -1glox + glox2 = 3 + (3 * glo + x * glo) 12glo + -1glox + glox2 = 3 + (3glo + glox) Solving 12glo + -1glox + glox2 = 3 + 3glo + glox 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. 12glo + -1glox + -3glo + glox2 = 3 + 3glo + -3glo + glox Reorder the terms: 12glo + -3glo + -1glox + glox2 = 3 + 3glo + -3glo + glox Combine like terms: 12glo + -3glo = 9glo 9glo + -1glox + glox2 = 3 + 3glo + -3glo + glox Combine like terms: 3glo + -3glo = 0 9glo + -1glox + glox2 = 3 + 0 + glox 9glo + -1glox + glox2 = 3 + glox Add '-1glox' to each side of the equation. 9glo + -1glox + -1glox + glox2 = 3 + glox + -1glox Combine like terms: -1glox + -1glox = -2glox 9glo + -2glox + glox2 = 3 + glox + -1glox Combine like terms: glox + -1glox = 0 9glo + -2glox + glox2 = 3 + 0 9glo + -2glox + glox2 = 3 Reorder the terms: -3 + 9glo + -2glox + glox2 = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + 9glo + -2glox + glox2 = 0 The solution to this equation could not be determined.
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