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, and c are positive and 9a+3b+c=90, then the maximum value of (log a+log b+log c) is (base of the logarithm is 10 ).

If a,b, and c are positive and 9a+3b+c=90 , then the maximum value of (log a+log b+log c) is (base of the logarithm is 10)________.

If a,b, and c are positive and 9a+3b+c=90 , then the maximum value of (log a+log b+log c) 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 positive real numbers, then the minimum value of a^(logb-logc)+b^(logc-loga)+c^(loga-logb) is

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

The value of log_a b log_b c log_c a is ………………. .

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

The value of a^((log_b(log_b N))/(log_b a)), is