question_answer

If 1, \[{{\log }_{9}}({{3}^{1-x}}+2),\] \[lo{{g}_{3}}\,({{4.3}^{x}}-1)\] are in A.P, then x equals

A)  \[{{\log }_{3}}4\]                    

B)  \[1-{{\log }_{3}}4\]

C)  \[1-{{\log }_{4}}3\]                  

D)  \[{{\log }_{4}}3\]

E)  None of these