question_answer

Find the value of \[\mathbf{lo}{{\mathbf{g}}_{\mathbf{10}}}\left( \frac{{{\mathbf{2}}^{\mathbf{2}}}\times {{\mathbf{3}}^{\mathbf{3}}}}{{{\mathbf{5}}^{\mathbf{3}}}} \right)\] where it is given that \[\mathbf{lo}{{\mathbf{g}}_{\mathbf{10}}}\mathbf{2=0}\mathbf{.3010}\]and \[\mathbf{lo}{{\mathbf{g}}_{\mathbf{10}}}\mathbf{3=0}\mathbf{.4771}\]

A) 0.2373                         

B) 2.0970      

C) 0.2070                                                 

D) 0.2273

E) None of these