If `(a+(log)_4 3)/(a+(log)_2 3)=(a+(log)_8 3)/(a+(log)_4 3)=b` ,then b is equal to `1/2` (2) `2/3` (c) `1/3` (d) `3/2`

Explanation

`(a+1/2log_2^3)/(a+log_2^3)=(a+1/3log_2^3)/(a+1/2log_2^3)`

`(a+t/2)/(a+t)=(a+t/3)/(a+t/2)`

`(a+t/2)^2=(a+t)(a+t/3)`

`a^2+t^2/4+at=a^2+(4at)/3+t^2/3`

`t/4+a=(4a)/3+t/3`

`-t/12=a/3`

`a=-t/4`

`b=(a+t/2)/(a+t)`

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