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Given that N=7^(log(49)900),A=2^(log(2)...

Given that `N=7^(log_(49)900),A=2^(log_(2)4)+3^(log_(2)4)+4^(log_(2)2)-4^(log_(2)3),D=(log_(5)49)(log_(7)125)` Then answer the following questions : (Using the values of N, A, D)
If `log_(A)D=a,` then the value of `log_(6)12` is (in terms of a)

A

`(1+3a)/(3a)`

B

`(1+2a)/(3a)`

C

`(1+2a)/(2a)`

D

`(1+3a)/(2a)`

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