CUET Preparation Today
CUET
-- Mathematics - Section B1
Relations and Functions
The domain of the real valued function $f(x) = log_e |log_e(x)|$ is
$(0,1) \cup(1, \infty)$
$(0, \infty)$
$(e, \infty)$
$(1, \infty)$
For the domain
|log x| > 0
⇒ log x ≠ 0
⇒ x > 0 ≠ 1
Hence (1) is the correct answer.