The complete set of values of \( x \) in the domain of function \( f(x)=\sqrt{\log _{x+2\{x\}}\l...

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The complete set of values of \( x \) in the domain of function \( f(x)=\sqrt{\log _{x+2\{x\}}\left([x]^{2}-5[x]+7\right)} \) (where [.] denote greatest integer function and \( \{\cdot\} \) denote fraction part function) is :
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