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

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

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

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

If a,b,c,d are in A.P.and x,y,z are in G.P. then show that x^(b-c)*y^(c-a)*z^(a-b)=1

If a,b,c are in A.P and x,y,z are in G.P prove that (b-c) logx+(c-a) log y+(a-b) log z=0

If a,b and c are A.P. whereas x,y and z are in G.P. : Prove that : x^(b-c)*y^(c-a)*z^(a-b)=1 .

If a,b,c are in A.P and x,y,z are in G.P then prove that a^((b-c)log_(a)^(x))xxb^((c-a)log_(b)^(y))xxc^((a-b)log_(c )^(z))=1

If a ,b ,c ,d are in A.P. and x , y , z are in G.P., then show that x^(b-c)doty^(c-a)dotz^(a-b)=1.

If a ,b ,c ,d are in A.P. and x , y , z are in G.P., then show that x^(b-c)doty^(c-a)dotz^(a-b)=1.

If a,b,c are in G.P. and a,x,b,y,c are in A.P., prove that : (a)/(x)+(c )/(y)=2 .