If a, b, c are positive real numbers, then the minimum value of
`a^(logb-logc)+b^(logc-loga)+c^(loga-logb)`is

If a ,b ,a n dc are positive and 9a+3b+c=90 , then the maximum value of (loga+logb+logc) is (base of the logarithm is 10).

If a ,b ,a n dc are positive and 9a+3b+c=90 , then the maximum value of (loga+logb+logc) is (base of the logarithm is 10).

If a ,b ,a n dc are positive and 9a+3b+c=90 , then the maximum value of (loga+logb+logc) is (base of the logarithm is 10).

If a > 1, b > 1, then the minimum value of log_b a + log_a b is

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 a , b , c are consecutive positive integers and (log(1+a c)=2K , then the value of K is logb (b) loga (c) 2 (d) 1

If a , b , c are consecutive positive integers and (log(1+a c)=2K , then the value of K is (a) logb (b) loga (c) 2 (d) 1

If x is a positive real number different from 1 such that log_a x, log_b x, log_c x are in A.P then

If x is a positive real number different from 1 such that log_a x, log_b x, log_c x are in A.P then

If x is a positive real number different from 1 such that log_a x, log_b x, log_c x are in A.P then