If `a in R^+ -{1}` then `log_aa=`

Let f(x) be a continuous function, AA x in R, f(0) = 1 and f(x) ne x for any x in R , then show f(f(x)) gt x, AA x in R^(+)

Let f(x) be a continuous function, AA x in R, f(0) = 1 and f(x) ne x for any x in R , then show f(f(x)) gt x, AA x in R^(+)

If log_r 3=7.1, then log_rsqrt3 =

a* b =ab+1 AA a,b in R then:

a* b =ab+1 AA a,b in R then:

If a,b,c be three distinct positive numbers, each different from 1 such that ("log"_ba"log"_ca-"log"_aa)+("log"_ab"log"_cb-"log"_b b)+("log"_ac"log"_bc-"log"_c c)=0 , then prove that abc=1

Let f(x) = 3x + 5 AA x in R, g^(-1)(x) = x^(3) +1 AA x in R , then (f^(-1).g)^(-1)(x) is equal to

Let f be a differentiable function AA x in R where f(1)=1&f(3)=4&f'(x)>=1 AA x in R then f(2) can be equal to