a^(1/x)=b^(1/y)=c^(1/z) if a,b,c are in Gp.prove that x,y,z are in Gp

step plz

as usual, google is your friend. You can start here:

http://www.meritnation.com/ask-answer/question/if-a-b-and-c-are-in-g-p-and-a1-x-b1-y-c1-z-prove-that/sequences-and-series/6204621