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Simplifying log(x + 6) = 3 + -1log(x + 4) Reorder the terms: glo(6 + x) = 3 + -1log(x + 4) (6 * glo + x * glo) = 3 + -1log(x + 4) (6glo + glox) = 3 + -1log(x + 4) Reorder the terms: 6glo + glox = 3 + -1glo(4 + x) 6glo + glox = 3 + (4 * -1glo + x * -1glo) 6glo + glox = 3 + (-4glo + -1glox) Solving 6glo + glox = 3 + -4glo + -1glox 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. 6glo + 4glo + glox = 3 + -4glo + 4glo + -1glox Combine like terms: 6glo + 4glo = 10glo 10glo + glox = 3 + -4glo + 4glo + -1glox Combine like terms: -4glo + 4glo = 0 10glo + glox = 3 + 0 + -1glox 10glo + glox = 3 + -1glox Add 'glox' to each side of the equation. 10glo + glox + glox = 3 + -1glox + glox Combine like terms: glox + glox = 2glox 10glo + 2glox = 3 + -1glox + glox Combine like terms: -1glox + glox = 0 10glo + 2glox = 3 + 0 10glo + 2glox = 3 Reorder the terms: -3 + 10glo + 2glox = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + 10glo + 2glox = 0 The solution to this equation could not be determined.
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