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Simplifying log(9x + 5) = 3 + log(x + 2) Reorder the terms: glo(5 + 9x) = 3 + log(x + 2) (5 * glo + 9x * glo) = 3 + log(x + 2) (5glo + 9glox) = 3 + log(x + 2) Reorder the terms: 5glo + 9glox = 3 + glo(2 + x) 5glo + 9glox = 3 + (2 * glo + x * glo) 5glo + 9glox = 3 + (2glo + glox) Solving 5glo + 9glox = 3 + 2glo + glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-2glo' to each side of the equation. 5glo + -2glo + 9glox = 3 + 2glo + -2glo + glox Combine like terms: 5glo + -2glo = 3glo 3glo + 9glox = 3 + 2glo + -2glo + glox Combine like terms: 2glo + -2glo = 0 3glo + 9glox = 3 + 0 + glox 3glo + 9glox = 3 + glox Add '-1glox' to each side of the equation. 3glo + 9glox + -1glox = 3 + glox + -1glox Combine like terms: 9glox + -1glox = 8glox 3glo + 8glox = 3 + glox + -1glox Combine like terms: glox + -1glox = 0 3glo + 8glox = 3 + 0 3glo + 8glox = 3 Reorder the terms: -3 + 3glo + 8glox = 3 + -3 Combine like terms: 3 + -3 = 0 -3 + 3glo + 8glox = 0 The solution to this equation could not be determined.
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