" (ii) "log(log i)

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

Differentiate the following functions with respect to x : (i) log(cosx^2) (ii) cos(log x)^2

Differentiate the following functions with respect to x:(i)log(cos x^(2)) (ii) cos(log x)^(2)

Solve for x : (i) (log 81)/(log 27) = x (ii) (log 128)/(log 32) = x (iii) (log 64)/(log 8) = log x (iv) (log 225)/(log 15) = log x

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

Solve for x : (i) log_(10) (x - 10) = 1 (ii) log (x^(2) - 21) = 2 (iii) log(x - 2) + log(x + 2) = log 5 (iv) log(x + 5) + log(x - 5) = 4 log 2 + 2 log 3

Prove that (i) log_(2)log_(2)log_(2)16=1

If log_(10)2 = a and log_(10) 3 = b , express each of the following in terms of 'a' and 'b' : (i) log 12 (ii) log 2.25 (iii) "log"_(2) (1)/(4) (iv) log 5.4 (v) log 60 (vi) "log 3" (1)/(8)

(i) int (log x)/x dx (ii) int (log x)^2/x dx

(i)tan (logx)" "(ii)log sec x" "(iii) log sin.(x)/(2)