If `x gt 1, y gt 1, z gt 1` are in G.P then `1/(1 + log x),1/(1 + log y),1/(1 + log z)` are in

17. If x gt 1, y gt 1, z gt1 are in G.P, then 1/(1+ ln x), 1/( 1+ ln y), 1/(1+ lnz) are in

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

(log x)/( (1 + log x)^(2))

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.

2x-y gt 1, x-2y lt -1

(1)/(x log x log (log x ))

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

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

If x, y, z are in A.P then 1/(sqrt(x) + sqrt(y)) , 1/(sqrt(z) + sqrt(x)) , 1/(sqrt(y) + sqrt(z)) are in

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