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Question Number 98885 by  M±th+et+s last updated on 16/Jun/20

$$findtherange$$$$$$$$f\left(x\right)={log}_4{log}_2{log}_{\frac{1}{2}}\left(x\right)$$

Commented by MJS last updated on 17/Jun/20

$$f\left(x\right)\mathrm{defined}\mathrm{for}0<x<\frac{1}{2}\Rightarrow -\mathrm{\infty }<f\left(x\right)<+\mathrm{\infty }$$$${\log }_{1/2}x=-{\log }_{2}x$$$$\Rightarrow x>0$$$${\log }_2(-{\log }_{2}x)$$$$\Rightarrow -{\log }_{2}x>0\Rightarrow 0<x<1$$$${\log }_4{\log }_2(-{\log }_{2}x)$$$$\Rightarrow {\log }_2(-{\log }_{2}x)>0\Rightarrow 0<x<\frac{1}{2}$$

Commented by  M±th+et+s last updated on 17/Jun/20

$$thankyousir$$

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