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Simplifying log(3 + x) + -1log(x + -5) = log(5) (3 * glo + x * glo) + -1log(x + -5) = log(5) (3glo + glox) + -1log(x + -5) = log(5) Reorder the terms: 3glo + glox + -1glo(-5 + x) = log(5) 3glo + glox + (-5 * -1glo + x * -1glo) = log(5) 3glo + glox + (5glo + -1glox) = log(5) Reorder the terms: 3glo + 5glo + glox + -1glox = log(5) Combine like terms: 3glo + 5glo = 8glo 8glo + glox + -1glox = log(5) Combine like terms: glox + -1glox = 0 8glo + 0 = log(5) 8glo = log(5) Reorder the terms for easier multiplication: 8glo = 5glo Solving 8glo = 5glo Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-5glo' to each side of the equation. 8glo + -5glo = 5glo + -5glo Combine like terms: 8glo + -5glo = 3glo 3glo = 5glo + -5glo Combine like terms: 5glo + -5glo = 0 3glo = 0 Divide each side by '3'. glo = 0 Simplifying glo = 0 The solution to this equation could not be determined.
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