Question

Given Condition Indices x = y^z y = z^x z = x^y Prove that xyz= 1

Answer 1

Answer:Given,

X=Y^Z -(1)

Y=Z^X -(2)

Z=X^Y -(3)

Using (2) on (1),

X=Z^XZ

Again, using (3)

X=X^XYZ

According the laws of indices,

(A^B=A^C

then, B=C)

So, XYZ=1.