If xy^(2) = 4 and log(3) (log(2) x) + lo...

If `xy^(2) = 4 and log_(3) (log_(2) x) + log_(1//3) (log_(1//2) y)=1` , then `x` equals

A

`x=1/8,y=64`

B

`x=1/4,y=48`

C

`x=64,y=1/4`

D

none of these

Verified by Experts

The correct Answer is:

C

Similar Questions

Explore conceptually related problems

If xy^(2)=4and(log)_(3)((log)_(2)x)+(log)_((1)/(3))((log)_((1)/(2))y)=1 then x equals (a)4(b)8(c)16(d)64

If log_(2)[log_(3)(log_(2)x)]=1 , then x is equal to

If log_(5)[log_(3)(log_(2)x)]=1 , then x is:

Find the value of x satisfying the equations log_(3)(log_(2)x)+log_(1//3)(log_(1//2)y)=1 and xy^(2)=9

Consider the system of equations log_(3)(log_(2)x)+log_(1//3)(log_(1//2)y) =1 and xy^(2) = 9 . The value of 1/y lies in the interval

Consider the system of equations log_(3)(log_(2)x)+log_(1//3)(log_(1//2)y) =1 and xy^(2) = 9 . The value of x in the interval

If log_(5)[log_(3)(log_(2)x)]=1 then x is

If log_(2)(log_(2)(log_(3)x))=log_(3)(log_(3)(log_(2)y))=0 , then x-y is equal to :

If (log_(3)x)(log_(x)2x)(log_(2x)y)=log_(x)x^(2) , then what is y equal to?