यदि `a^(1/x)=b^(1/y)=c^(1/z)` और `a,b,c` गुणोत्तर श्रेणी में है तब `x, y,z` होंगे -

IF a^(1/x)=b^(1/y)=c^(1/z) and abc=1 then x+y+z=…………..

If a^((1)/(x))= b^((1)/(y))= c^((1)/(z)) and a,b,c are in G.P., prove that x,y,z are in A.P.

Which of the foliowing statement(s) is/are true? (A) If a^x =b^y=c^z and a,b,c are in GP, then x, y, z are in HP (B) If a^(1/x)=b^(1/y)=c^(1/z) and a,b,c are in GP, then x,y,z are in AP

If x^(1/a)=y^(1/b)=z^(1/c) where a,b,c are in A.P,,than show that x,y,z are in G.P.

IF a,b,c are in G.P and a^(1/x)=b^(1/y)=c^(1/z) then x,y,z are in

If a, b, c are in AP and a^(1/x)=b^(1/y)=c^(1/z) prove that x, y, z are in AP.

If a, b, c are in geometric progression, and if a^(1/x)=b^(1/y)=c^(1/z) , then prove that x, y, z are in arithmetic progression.