The domain of f(x)="log"|logx|i s (a)(0...

The domain of `f(x)="log"|logx|i s` (a)`(0,oo)` (b) `(1,oo)` (c) `(0,1)uu(1,oo)` (d) `(-oo,1)`

A

`(0,oo)`

B

`(1,oo)`

C

`(0,1) cup (1,oo)`

D

`(-oo,1)`

Text Solution

Verified by Experts

The correct Answer is:

C

`f(x)=log|logx|.f(x)` is defined if `|logx| gt 0 " and " x gt 0,` i.e., if
`x gt 0 and x ne 1 " " ( :' |logx| gt 0 " if " x ne 1)`
or ` x in (0,1) cup (1,oo)`

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