• # question_answer What is the value of ${{\left[ \mathbf{lo}{{\mathbf{g}}_{\mathbf{10}}}\left( \mathbf{5 lo}{{\mathbf{g}}_{\mathbf{10}}}\mathbf{100} \right) \right]}^{\mathbf{2}}}_{\mathbf{b}}$ A)  4                    B)  3             C)  2                                D)  1

(d): ${{\left[ {{\log }_{10}}\left( 5{{\log }_{10}}100 \right) \right]}^{2}}={{\left[ {{\log }_{10}}\left( 5{{\log }_{10}}{{10}^{2}} \right) \right]}^{2}}$ $={{\left[ {{\log }_{10}}\left( 10{{\log }_{10}}10 \right) \right]}^{2}}$ =${{\left[ {{\log }_{10}}10 \right]}^{2}}\left( \therefore {{\log }_{10}}10=1 \right)$ $={{1}^{2}}=1$