0 votes 0 votes What is the domain of the function log(log(sinx))? Mathematical Logic functions + – saumya mishra asked May 2, 2018 retagged May 2, 2018 by Arjun saumya mishra 557 views answer comment Share Follow See all 2 Comments See all 2 2 Comments reply Jason commented May 2, 2018 reply Follow Share All possible values that x can take i.e. x $\in$$\mathbb{R}$. 0 votes 0 votes ankitgupta.1729 commented May 2, 2018 reply Follow Share the graph of log x is given below :- So, log x is defined for x > 0 So, according to question , log(logsinx) will be defined when log(sinx) > 0 So, log(sinx) >0 So, sinx > e0 sinx > 1 Since , we know that -1<=sinx <=1 but we got sinx >1 So, we can say no 'x' is existed here. 2 votes 2 votes Please log in or register to add a comment.