`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)_(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/((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

If 10^(log_a(log_b(log_c x)))=1 and 10^((log_b(log_c(log_a x)))=1 then, a is equal to

If a, b, c are distinct positive real numbers each different from unity such that (log_b a.log_c a -log_a a) + (log_a b.log_c b-logb_ b) + (log_a c.log_b c - log_c c) = 0, then prove that abc = 1.

If log_(b) a. log_(c ) a + log_(a) b. log_(c ) b + log_(a) c. log_(b) c = 3 (where a, b, c are different positive real number ne 1 ), then find the value of a b c.

Show that log_(b)a log_(c)b log_(a)c=1

If a,b,c are distinct real number different from 1 such that (log_(b)a. log_(c)a-log_(a)a) + (log_(a)b.log_(c)b.log_(c)b-log_(b)b) +(log_(a)c.log_(b)c-log_(c)C)=0 , then abc is equal to

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)