What is \[\mathbf{lo}{{\mathbf{g}}_{\mathbf{10}}}\left( \frac{\mathbf{3}}{\mathbf{2}} \right)\mathbf{+lo}{{\mathbf{g}}_{\mathbf{10}}}\left( \frac{\mathbf{4}}{\mathbf{3}} \right)\mathbf{+lo}{{\mathbf{g}}_{\mathbf{10}}}\left( \frac{\mathbf{5}}{\mathbf{4}} \right)\mathbf{+}.....\]up to 10 terms equal to?

• A.  0                                
• B.  \[lo{{g}_{10}}6\]
• C.  \[lo{{g}_{10}}5\]                     
• D.  None of these