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 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

STATEMENT-1 : If a, b, c are distinct positive reals in G.P. then log_(a) n, log_(b) n, log_(c) n are in H.P. , AA n ne N and STATEMENT-2 : The sum of reciprocals of first n terms of the series 1 + (1)/(3) + (1)/(5) + (1)/(7) + (1)/(9) + ..... "is" n^(2) and

Draw the graph of y=1/(log_(e)x)

Solve log_(e)(x-a)+log_(e)x=1.(a>0)

Evaluate : (1)/(log_(a)bc + 1) + (1)/(log_(b)ca + 1) + (1)/(log_(c) ab + 1)

Prove that log_(e)(1+x)ltxforxgt0

Simplify: 1/(1+(log)_a b c)+1/(1+(log)_b c a)+1/(1+(log)_c a b)

Simplify: 1/(1+(log)_a b c)+1/(1+(log)_b c a)+1/(1+(log)_c a b)