If `a >1,b >1 ` and ` c >1` are in G.P. then show that `1/(1+(log)_e a),1/(1+(log)_e b), a n d1/(1+(log)_e c)` are in H.P.

Similar Questions

Explore conceptually related problems

If agt1,bgt1andcgt1 are in G.P., then show that 1/(1+log_(e)a),1/(1+log_(e)b)and1/(1+log_(e)c) are in H.P.

If a,b,c are in G.P.prove that (1)/((log)_(a)m),(1)/((log)_(b)m),(1)/((log)_(c)m) are in A.P.

If x gt 1 , y gt 1 , z gt 1 are in G.P. , then log_(ex)e , log_(ey)e , log_(ez)e are in

If a,b,c are in G.P. then show that :sum{log_(a)((b)/(c))}^(-1)=-3{log_(b)((c)/(a))}^(-1)

If x,y,z are in G.P. (x,y,z gt 1) , then (1)/(2x+log_(e)x) , (1)/(4x+log_(e)y) , (1)/(6x+log_(ez)z) are in

(1fx,y,z are in G.P.(x,y,z>1), then )/(2x+log_(e)x)*(1)/(4x+log_(e)y),(1)/(6x+log_(e)z) are

If log_e(1/(2)(a+b))=1/2(log_e a+log_e b), then a/(3b) =