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Find the domain of f(x)=(log)(10)(log)2(...

Find the domain of `f(x)=(log)_(10)(log)_2(log)_(2/pi)(t a n^(-1)x)^(-1)`

Text Solution

Verified by Experts

We must have
`log_(2)log_(2//pi)(tan^(-1)x)^(-1) gt 0`
or `log_(2//pi)(tan^(-1)x)^(-1) gt 1`
or `0 lt (tan^(-1)x)^(-1) lt (2)/(pi)`
or `(pi)/(2) lt tan^(-1)x lt oo`, which is not possible . Hence, the domain is `phi`.
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