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  • Find the domain of f(x) =log log (1+x^3) ( where base is 10)

Find the domain of f(x) =log log (1+x^3) ( where base is 10)

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Solution:    We have ,    f(x)=log _10log _10(1+x^3)

                      f(x)=log _10log _10(1+x^3)  exists

                  Rightarrow         log _10(1+x^3)> 0

                 Or             1+x^3> 1

                or               x^3> 0Rightarrow xin (0,infty)

                 Thus , domain of given function exists if  x> 0

Posted by

Deependra Verma

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