If a,b,c are positive and ar the `p^(th),q^(th),r^(th)` terms respectively of a G.P show that, `|{:(,log a,p,1),(,log b,q,1),(,log c,r,1):}|=0`

If a,b,c are all positive, and are p^(th), q^(th) and r^(th) terms of a G.P., show that |("log"a,p,1),("log"b,q,1),("log"c,r,1)|=0 .

If a,b,are positive and are the pth, qthrth terms respectively of a GP then det[[log a,p,1log b,q,1log c,r,1]]=

If l, m, n are the p^(th), q^(th), r^(th) terms of a G.P which are +ve, then |(log l,p,1),(log m ,q,1),(log n ,r,1)|=

If p^(th),q^(th)and r^(th) tern of G.P are a,b and c respectively then |{:(loga,p,1),(logb,q,1),(logc,r,1):}|=0

If a,b,c are all positive and are p-th,q-thand r-th terms of a G.P ., then show that |{:(loga,p,1),(logb,q,1),(logc,r,1):}|=0 .

If a,b c(all positive)are the p th,q th and r th terms repectively of a geometric progression, show that abs((loga,p,1),(logb,q,1),(logc,r,1)) = 0.

l, m,n are the p^(th), q ^(th) and r ^(th) term of a G.P. all positive, then |{:(logl, p, 1),(log m, q, 1),(log n ,r,1):}| equals :

If a gt0, bgt0,cgt0 are respectively the p^("th"),q^("th"),r^("th") terms of a G.P.,. Then the value of the determinant |{:(loga, p,1),(logb,q,1),(logc,r,1):}| is