A) \[{{\log }_{7}}35\]
B) \[5\]
C) \[25\]
D) \[{{\log }_{7}}25\]
Correct Answer: C
Solution :
Given, \[{{7}^{2{{\log }_{7}}5}}\] \[={{7}^{{{\log }_{7}}{{(5)}^{2}}}}\] [ \[\because \] \[{{a}^{{{\log }_{a}}x}}=x,x>0,x\ne 0,1\]] \[={{(5)}^{2}}=25\]
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