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domain of the function f(x)=log log(x-1) is please send me the answer

        domain of the function f(x)=log log(x-1) is
 
please send me the answer

Grade:12th pass

1 Answers

Ujjwal Sharma
35 Points
5 years ago
Start this question with basic definition of logarithm,go forward bracket by bracket.
log{log(x-1)}..... clearly x-1>0  ====> x>1..................(1)
now solve for second bracket.
log(x-1)>0
using inequality rule and as base of log is >1 so we can write
x-1>1 ====> x>2................(2)
both of these conditions should be carried out simultaneously so take their intersection
we get final answer x>2.....
ALL THE BEST. 

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