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if f (x) = log (log x) find domain and range
Dear Cathy,
Ans: For log(logx) to be defined, logx >0
or x>1
Hence the domain is xŒ (1,∞)
The range is (-∞,∞)
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Askiitians Experts
SOUMYAJIT IIT_KHARAGPUR
for log(logx) to be meaningful -logx > 0 by definition of log function ... log(y)Ε real for y > 0 ; here y = logx
logx > 0→ x > 1 domain x > 1 ;
→ 0<logx<∞ ;
→ log(logx) belongs to all real range all real
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