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Simplifying log(9x + 9) = 2 + log(x + 4) Reorder the terms: glo(9 + 9x) = 2 + log(x + 4) (9 * glo + 9x * glo) = 2 + log(x + 4) (9glo + 9glox) = 2 + log(x + 4) Reorder the terms: 9glo + 9glox = 2 + glo(4 + x) 9glo + 9glox = 2 + (4 * glo + x * glo) 9glo + 9glox = 2 + (4glo + glox) Solving 9glo + 9glox = 2 + 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. 9glo + -4glo + 9glox = 2 + 4glo + -4glo + glox Combine like terms: 9glo + -4glo = 5glo 5glo + 9glox = 2 + 4glo + -4glo + glox Combine like terms: 4glo + -4glo = 0 5glo + 9glox = 2 + 0 + glox 5glo + 9glox = 2 + glox Add '-1glox' to each side of the equation. 5glo + 9glox + -1glox = 2 + glox + -1glox Combine like terms: 9glox + -1glox = 8glox 5glo + 8glox = 2 + glox + -1glox Combine like terms: glox + -1glox = 0 5glo + 8glox = 2 + 0 5glo + 8glox = 2 Reorder the terms: -2 + 5glo + 8glox = 2 + -2 Combine like terms: 2 + -2 = 0 -2 + 5glo + 8glox = 0 The solution to this equation could not be determined.
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