If \[\mathbf{lo}{{\mathbf{g}}_{\mathbf{10}}}\mathbf{5+lo}{{\mathbf{g}}_{\mathbf{10}}}\left( \mathbf{5x+1} \right)\mathbf{=lo}{{\mathbf{g}}_{\mathbf{10}}}\left( \mathbf{x+5} \right)\mathbf{+1,}\]then x is equal to:

• A.  1                                
• B.  3
• C.  5                                
• D.  10