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Simplifying log(2x + 8) = 1 + log(x + -4) Reorder the terms: glo(8 + 2x) = 1 + log(x + -4) (8 * glo + 2x * glo) = 1 + log(x + -4) (8glo + 2glox) = 1 + log(x + -4) Reorder the terms: 8glo + 2glox = 1 + glo(-4 + x) 8glo + 2glox = 1 + (-4 * glo + x * glo) 8glo + 2glox = 1 + (-4glo + glox) Solving 8glo + 2glox = 1 + -4glo + glox 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. 8glo + 4glo + 2glox = 1 + -4glo + 4glo + glox Combine like terms: 8glo + 4glo = 12glo 12glo + 2glox = 1 + -4glo + 4glo + glox Combine like terms: -4glo + 4glo = 0 12glo + 2glox = 1 + 0 + glox 12glo + 2glox = 1 + glox Add '-1glox' to each side of the equation. 12glo + 2glox + -1glox = 1 + glox + -1glox Combine like terms: 2glox + -1glox = 1glox 12glo + 1glox = 1 + glox + -1glox Combine like terms: glox + -1glox = 0 12glo + 1glox = 1 + 0 12glo + 1glox = 1 Reorder the terms: -1 + 12glo + 1glox = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 12glo + 1glox = 0 The solution to this equation could not be determined.
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