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Simplifying log(2x + 9) = log(9 + -4x) Reorder the terms: glo(9 + 2x) = log(9 + -4x) (9 * glo + 2x * glo) = log(9 + -4x) (9glo + 2glox) = log(9 + -4x) 9glo + 2glox = (9 * glo + -4x * glo) 9glo + 2glox = (9glo + -4glox) Add '-9glo' to each side of the equation. 9glo + -9glo + 2glox = 9glo + -9glo + -4glox Combine like terms: 9glo + -9glo = 0 0 + 2glox = 9glo + -9glo + -4glox 2glox = 9glo + -9glo + -4glox Combine like terms: 9glo + -9glo = 0 2glox = 0 + -4glox 2glox = -4glox Solving 2glox = -4glox Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '4glox' to each side of the equation. 2glox + 4glox = -4glox + 4glox Combine like terms: 2glox + 4glox = 6glox 6glox = -4glox + 4glox Combine like terms: -4glox + 4glox = 0 6glox = 0 Divide each side by '6'. glox = 0 Simplifying glox = 0 The solution to this equation could not be determined.
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