A) \[(0,\ \infty )\]
B) \[(1,\ \infty )\]
C) \[(0,\ 1)\cup (1,\ \infty )\]
D) \[(-\infty ,\ 1)\]
Correct Answer: C
Solution :
\[f(x)=\log |\log x|\],\[f(x)\] is defined if \[|\log x|>0\] and \[x>0\] i.e., if \[x>0\] and \[x\ne 1\] \[(\because \,|\log x|\,>0\,\,\text{if}\,\,x\ne 1)\] Þ \[x\in (0,\,1)\cup (1,\,\infty ).\]
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