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Question Number 165805 by ZiYangLee last updated on 08/Feb/22

If  function f(x)=log_(x/2) log_(1/3) log _4  x exist,  find the domain of f .

$$\mathrm{If}\:\:\mathrm{function}\:{f}\left({x}\right)=\mathrm{log}_{\frac{{x}}{\mathrm{2}}} \mathrm{log}_{\frac{\mathrm{1}}{\mathrm{3}}} \mathrm{log}\:_{\mathrm{4}} \:{x}\:\mathrm{exist}, \\ $$$$\mathrm{find}\:\mathrm{the}\:\mathrm{domain}\:\mathrm{of}\:{f}\:. \\ $$

Answered by ZiYangLee last updated on 08/Feb/22

Ans: (1,2)∪(2,4)

$$\mathrm{Ans}:\:\left(\mathrm{1},\mathrm{2}\right)\cup\left(\mathrm{2},\mathrm{4}\right) \\ $$

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