question_answer

If \[\mathbf{lo}{{\mathbf{g}}_{\mathbf{54}}}\mathbf{16}=\mathbf{a}\], then find the value of \[\mathbf{lo}{{\mathbf{g}}_{\mathbf{36}}}\mathbf{3}\].

A) \[\frac{8+2a}{2-a}\]                                         

B) \[\frac{4-a}{8+4a}\]

C) \[\frac{2-a}{8+2a}\]                                         

D) \[\frac{8+4a}{4-a}\]

E) None of these