" 11."(log x)^(log x)

Solve for x : 3^(log x)-2^(log x) =2^(log x+1)-3^(log x-1)

y = (log x) ^ ((log x) ^ (log x) .... oo)

int (1)/( x (log x) log (log x) ) dx is equal to a) log (log x) + C b) log | log (x log x) + C c) log | log | log (log x) || + C d) log | log (log x) | + C

If y=x^((log x)^(log(log x))then(dy)/(dx))=

(log x)^(log x),x gt1

(log x)^(log x),x gt1

Differentiate w.r.t.x the function in Exercises 1 to 11. (x)^(log x), x gt 1 .

State, true or false : (i) log 1 xx log 1000 = 0 (ii) (log x)/(log y) = log x - log y (iii) If (log 25)/(log 5) = log x , then x = 2 (iv) log x xx log y = log x + log y