14,x(log x)^(2)

The value of x satisfies the equation (1-2(log x^(2)))/(log x-2(log x)^(2))=1

Integrate the functions ,(1+x)(x+log x)^(2),((1+x)(x+log x)^(2))/(x)

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

int(log(x+1)-log x)/(x(x+1))dx= (A) log(x-1)log x+(1)/(2)(log x-1)^(2)-(1)/(2)(log x)^(2)+c (B) (1)/(2)(log(x+1))^(2)+(1)/(2)(log x)^(2)-log(x+1)log x+c (C) -(1)/(2)(log(x+1)^(2))-(1)/(2)(log x)^(2)+log x*log(x+1)+c (D) [log(1+(1)/(x))]^(2)+c

int _(2) ^(4) (log x ^(2))/( log x ^(2) + log (36-12 x + x ^(2)) dx is

(log (x^(3) + 3x^(2) + 3x + 1))/(log (x^(2) + 2x + 1)) is equal to

int((log x)^(2)-log x+1)/(((log x)^(2)+1)^((3)/(2)))dx

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

int1/(x"log"x^(2))dx is equal to a) 1/(2)"log"|"log"x^(2)|+C b) "log"|"log"x^(2)|+C c) 2"log"|"log"x^(2)|+C d) 4"log"|"log"x^(2)|+C