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Simplifying Log(11x + 9) = 3 + log(x + 3) Reorder the terms: goL(9 + 11x) = 3 + log(x + 3) (9 * goL + 11x * goL) = 3 + log(x + 3) (9goL + 11goxL) = 3 + log(x + 3) Reorder the terms: 9goL + 11goxL = 3 + glo(3 + x) 9goL + 11goxL = 3 + (3 * glo + x * glo) 9goL + 11goxL = 3 + (3glo + glox) Solving 9goL + 11goxL = 3 + 3glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-3glo' to each side of the equation. 9goL + -3glo + 11goxL = 3 + 3glo + -3glo + glox Reorder the terms: -3glo + 9goL + 11goxL = 3 + 3glo + -3glo + glox Combine like terms: 3glo + -3glo = 0 -3glo + 9goL + 11goxL = 3 + 0 + glox -3glo + 9goL + 11goxL = 3 + glox Add '-1glox' to each side of the equation. -3glo + 9goL + -1glox + 11goxL = 3 + glox + -1glox Reorder the terms: -3glo + -1glox + 9goL + 11goxL = 3 + glox + -1glox Combine like terms: glox + -1glox = 0 -3glo + -1glox + 9goL + 11goxL = 3 + 0 -3glo + -1glox + 9goL + 11goxL = 3 Reorder the terms: -3 + -3glo + -1glox + 9goL + 11goxL = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + -3glo + -1glox + 9goL + 11goxL = 0 The solution to this equation could not be determined.
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