Question

If x^a = y, y^b = z and z^c = x then prove that abc=1 Pls.

Answer 1

[tex] \ x^a=y\\ or,\ [x^a]^b=y^b\\ or,\ x^a^b=z \ \ [as\ y^b=z]\\ or,\ [x^{ab}]^c=z^c\\or,\ x^{abc}=x \ \ [as\ z^c=x]\\ or,\ x^{abc}=x^1\\ \therefore abc=1 [/tex]