A) \[(-\infty ,2)\cup (3,\infty )\]
B) \[(2,3)\]
C) \[(-\infty ,1)\cup (1,2)\cup (2,\infty )\]
D) None of these
Correct Answer: B
Solution :
[b] \[f(x)=lo{{g}_{1/2}}({{x}^{2}}-5x+7)>0\Rightarrow {{x}^{2}}-5x+7>0\] \[{{x}^{2}}-5x+7<1,x\in R\Rightarrow {{x}^{2}}-5x+6<0\Rightarrow x\in (2,3)\]
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