question_answer

The solution of \[{{\log }_{\sqrt{3}}}x+{{\log }_{\sqrt[4]{3}}}x+{{\log }_{\sqrt[6]{3}}}x+......+{{\log }_{\sqrt[16]{3}}}x=36\] is                              

A)  \[x=3\]            

B)  \[x=4\sqrt{3}\]

C)  \[x=9\]            

D)  \[x=\sqrt{3}\]

E)  None of these