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Simplifying log(9x + 11) = 3 + log(x + 5) Reorder the terms: glo(11 + 9x) = 3 + log(x + 5) (11 * glo + 9x * glo) = 3 + log(x + 5) (11glo + 9glox) = 3 + log(x + 5) Reorder the terms: 11glo + 9glox = 3 + glo(5 + x) 11glo + 9glox = 3 + (5 * glo + x * glo) 11glo + 9glox = 3 + (5glo + glox) Solving 11glo + 9glox = 3 + 5glo + glox 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. 11glo + -5glo + 9glox = 3 + 5glo + -5glo + glox Combine like terms: 11glo + -5glo = 6glo 6glo + 9glox = 3 + 5glo + -5glo + glox Combine like terms: 5glo + -5glo = 0 6glo + 9glox = 3 + 0 + glox 6glo + 9glox = 3 + glox Add '-1glox' to each side of the equation. 6glo + 9glox + -1glox = 3 + glox + -1glox Combine like terms: 9glox + -1glox = 8glox 6glo + 8glox = 3 + glox + -1glox Combine like terms: glox + -1glox = 0 6glo + 8glox = 3 + 0 6glo + 8glox = 3 Reorder the terms: -3 + 6glo + 8glox = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + 6glo + 8glox = 0 The solution to this equation could not be determined.
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