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Simplifying log(14x + 9) + log(x) = log(x + 9) Reorder the terms: glo(9 + 14x) + log(x) = log(x + 9) (9 * glo + 14x * glo) + log(x) = log(x + 9) (9glo + 14glox) + log(x) = log(x + 9) Multiply glo * x 9glo + 14glox + glox = log(x + 9) Combine like terms: 14glox + glox = 15glox 9glo + 15glox = log(x + 9) Reorder the terms: 9glo + 15glox = glo(9 + x) 9glo + 15glox = (9 * glo + x * glo) 9glo + 15glox = (9glo + glox) Add '-9glo' to each side of the equation. 9glo + -9glo + 15glox = 9glo + -9glo + glox Combine like terms: 9glo + -9glo = 0 0 + 15glox = 9glo + -9glo + glox 15glox = 9glo + -9glo + glox Combine like terms: 9glo + -9glo = 0 15glox = 0 + glox 15glox = glox Solving 15glox = glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '-1glox' to each side of the equation. 15glox + -1glox = glox + -1glox Combine like terms: 15glox + -1glox = 14glox 14glox = glox + -1glox Combine like terms: glox + -1glox = 0 14glox = 0 Divide each side by '14'. glox = 0 Simplifying glox = 0 The solution to this equation could not be determined.
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