Given that log(x)y,log(z)x,log(y)z are i...

Given that `log_(x)y,log_(z)x,log_(y)z` are in GP, `xyz=64" and "x^(3),y^(3),z^(3)` are in A.P.
Which one of the following is correct ?
x,y and z are

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The correct Answer is:

True

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Given that log_(x)y,log_(z)x,log_(y)z are in GP, xyz=64" and "x^(3),y^(3),z^(3) are in A.P. Which one of the following is correct ? xy,yz and zx are

in AP only

in GP only

in both AP and GP

neither in AP nor in GP

In AP only

In GP only

In both AP and GP

Neither in AP nor in GP

a. `z^(3)=x`

b. `x=y^(-1)`

c. `z^(-3)=y`

d. `x=y^(-1) =z^(3)`