Question

If x, y, z beolg to R, logxy, logzx, logyz are in ap

Answer 1

Step-by-step explanation:

ANSWER

According to question,

logxylogzx=logzxlogyz⇒(logx)3=(logz)3

⇒x=z

Since 2y3=x3+z3⇒x2=y3 or x=y

Given xyz=64 & x=y=z

∴x=y=z=4

& x+y+z=12