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Simplifying log(x + 8) + -1log(x + -2) = log(6) Reorder the terms: glo(8 + x) + -1log(x + -2) = log(6) (8 * glo + x * glo) + -1log(x + -2) = log(6) (8glo + glox) + -1log(x + -2) = log(6) Reorder the terms: 8glo + glox + -1glo(-2 + x) = log(6) 8glo + glox + (-2 * -1glo + x * -1glo) = log(6) 8glo + glox + (2glo + -1glox) = log(6) Reorder the terms: 8glo + 2glo + glox + -1glox = log(6) Combine like terms: 8glo + 2glo = 10glo 10glo + glox + -1glox = log(6) Combine like terms: glox + -1glox = 0 10glo + 0 = log(6) 10glo = log(6) Reorder the terms for easier multiplication: 10glo = 6glo Solving 10glo = 6glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-6glo' to each side of the equation. 10glo + -6glo = 6glo + -6glo Combine like terms: 10glo + -6glo = 4glo 4glo = 6glo + -6glo Combine like terms: 6glo + -6glo = 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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