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

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), and (1)/(1+(log)_(e)c) are in H.P.

The value of 1/ ( 1+ log_(ab)c) + 1/(1+ log_(ac)b) + 1/ ( 1+ log_(bc)a) equals

If a, b, c are positive real numbers then (1)/("1+log"_(a)bc) + (1)/("1+log"_(b)ca) +(1)/("1+log"_(c)ab)=

1/((log)_(sqrt(b c))a b c)+1/((log)_(sqrt(c a))a b c)+1/((log)_(sqrt(a b))a b c) has the value of equal to: a.1//2 b. 1 c.2 d. 4

1/(1 + log_(b) a + log_(b) c)+ 1/(1 + log_(c)a + log_(c)b) + 1/(1 + log_(a)b + log_(a) c) has the value equal to

(1/(log_(a)bc+1) + 1/(log_(b) ac +1) + 1/(log_(c)ab+1)+1) is equal to:

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.