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Simplifying Log(4x + 7) = 1 + log(x + -4) Reorder the terms: goL(7 + 4x) = 1 + log(x + -4) (7 * goL + 4x * goL) = 1 + log(x + -4) (7goL + 4goxL) = 1 + log(x + -4) Reorder the terms: 7goL + 4goxL = 1 + glo(-4 + x) 7goL + 4goxL = 1 + (-4 * glo + x * glo) 7goL + 4goxL = 1 + (-4glo + glox) Solving 7goL + 4goxL = 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. 7goL + 4glo + 4goxL = 1 + -4glo + 4glo + glox Reorder the terms: 4glo + 7goL + 4goxL = 1 + -4glo + 4glo + glox Combine like terms: -4glo + 4glo = 0 4glo + 7goL + 4goxL = 1 + 0 + glox 4glo + 7goL + 4goxL = 1 + glox Add '-1glox' to each side of the equation. 4glo + 7goL + -1glox + 4goxL = 1 + glox + -1glox Reorder the terms: 4glo + -1glox + 7goL + 4goxL = 1 + glox + -1glox Combine like terms: glox + -1glox = 0 4glo + -1glox + 7goL + 4goxL = 1 + 0 4glo + -1glox + 7goL + 4goxL = 1 Reorder the terms: -1 + 4glo + -1glox + 7goL + 4goxL = 1 + -1 Combine like terms: 1 + -1 = 0 -1 + 4glo + -1glox + 7goL + 4goxL = 0 The solution to this equation could not be determined.
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