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`

If `(a+(log)_4 3)/(a+(log)_2 3)=(a+(log)_8 3)/(a+(log)_4 3)=b` ,then b

1.	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`
Answer» `(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)` `=(-t/4+t/2)/(-t/4+t)` `=(1/4)/(3/4)` `=1/3`.