log(log x)

dx/(x*(lnx)ln(lnx).............................(ln ln ln ln.........lnx) larr20 times is equal to (i) (log log log log ..............x)larr 20times +C (ii) (log log log log ..............x)larr 19times +C (iii) (log log log log ..............x)larr 21times +C (iv) (log log log log ..............x)larr 22times +C

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

Solve: 4^((log)_(2)log x)=log x-(log x)^(2) (base is e)

Suppose x,y,z>1 then least value of log(xyz)[(log x)/(log y log z)+(log y)/(log x log z)+(log z)/(log x log y)]

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

int_ (e^(e))^(e^(e^(e))) (dx)/(x ln x*ln (ln x)*ln (ln (ln x)))

int_ (e^(e))^(e^(e^(e))) (dx)/(x ln x*ln (ln x) ln (ln (ln x)))