If a,b,c are in G.P., then show that : `loga, logb, log c` are in A.P.

If a,b,c are in G.P.,prove that: log_(a)x,log_(b)x,log_(c)x are in H.P.

If a,b,c are in G.P.prove that log a,log b,log c are in A.P.

If the angles A,B,C of a triangle are in A.P. and sides a,b,c, are in G.P., then prove that a^2, b^2,c^2 are in A.P.

"If "(1)/(a+b),(1)/(2b),(1)/(b+c) are in A.P., then prove that a, b, c are in G.P.

If a,b,c are in G.P.,then prove that log a^(n),log b^(n),log c^(n)quad are in A.P.

STATEMENT -1: If a, b and c are in G.P. then loga, logb loge must be in AP. STATEMENT 2: If logx, logy, logz are in AP then x,y,z must be in AP

There distinct positive numbers, a,b,c are in G.P. while log _(c) a, log _(b) c, log _(a) b are in A.P. with non-zero common difference d, then 2d=

If a^(2),b^(2),c^(2) are in A.P,then show that: b+c-a,c+a-b,a+b-c are in A.P.

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