The domain of the function f(x)=log2log2log2…log2x⏟n times is
2n−1,∞
2n,∞
2n−2,∞
None of these
f (x) is defined if(1) x>0 (2) log2x>0⇒x>20=1 (3) log2log2x>0⇒log2x>20=1⇒x>21=2 (4) log2log2log2x>0⇒log2log2x>20=1 ⇒log2x>21=2 ⇒x>22 (5) log2log2log2log2x>0⇒log2log2log2x>20=1 ⇒log2log2x>21 ⇒log2x>22⇒x>222Continuing like this, we get x>222(n−1)times∴ Domain of f=222.(n−1) iimes ,∞