If a, b, c are distinct positive real numbers in G.P and `log_ca, log_bc, log_ab` are in A.P, then find the common difference of this A.P

If a,b,c are distinct positive real numbers in G.P and log _(c)a,log_(b)c,log_(a)b are in A.P,then find the common difference of this A.P

If a, b, c, d are distinct positive numbers in A.P., then:

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 x is a positive real number different from 1 such that log_(a)x,log_(b)x,log_(c)x are in A.P then

If X is a positive real number other than 1 such that log_(a)x.log_(b)x,log_(c)x are in A.P. then

If log_(a)x,log_(b)x,log_(c)x are in A.P then c^(2)=

Suppose a,b,c are distinct positive real numbers such that a,2b,3c are in A.P. and a,b,c are in G.P. The common ratio of G.P. is

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

If a,b,c are in G.P and a,p,q are in A.P such that 2a, b+p, c +q are in G.P ., then the common difference of A.P is