A) 4
B) 3
C) 2
D) 1
Correct Answer: D
Solution :
(d): \[{{\left[ {{\log }_{10}}\left( 5{{\log }_{10}}100 \right) \right]}^{2}}={{\left[ {{\log }_{10}}\left( 5{{\log }_{10}}{{10}^{2}} \right) \right]}^{2}}\] \[={{\left[ {{\log }_{10}}\left( 10{{\log }_{10}}10 \right) \right]}^{2}}\] =\[{{\left[ {{\log }_{10}}10 \right]}^{2}}\left( \therefore {{\log }_{10}}10=1 \right)\] \[={{1}^{2}}=1\]
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