Suppose `log_a b+log_b a= c`. The smallest possible integer value of c for all ` a, bgt1` is

Suppose log_(a)b+log_(b)a=c . The smallest possible integer value of c for all a, b gt 1 is -

Let a and b be real numbers greater than 1 for which there exists a positive real number c, different from 1, such that 2(log_a c +log_b c)=9log_ab c . Find the largest possible value of log_a b .

Let a and b be real numbers greater than 1 for which there exists a positive real number c, different from 1, such that 2(log_a c +log_b c)=9log_ab c . Find the largest possible value of log_a b .

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

If log_a a. log_c a +log_c b. log_a b + log_a c. log_b c=3 (where a, b, c are different positive real nu then find the value of a bc.

There exists a positive number k such that log_2x+ log_4x+ log_8x= log_kx , for all positive real no x. If k= a^(1/b) where (a,b) epsilon N, the smallest possible value of (a+b)= (C) 12 A) 75 (B) 65 (D) 63_

There exists a positive number k such that log_2x+ log_4x+ log_8x= log_kx , for all positive real no x. If k= a^(1/b) where (a,b) epsilon N, the smallest possible value of (a+b)= (c)

log_(a)b = log_(b)c = log_(c)a, then a, b and c are such that

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.