" 5."(1)/(x log|x|)

The value of lim_(x to 0) (10^(x)-2^(x)-5^(x)+1)/(x log(1+x)) is -

Find the integral int(1)/(4x^(2)+12x+5)dx A. (1)/(4)log|(2x+1)/(2x-5)|+C B. (1)/(8)log|(1+2x)/(5-2x)|+C C. (1)/(8)log|(2x-1)/(2x+5)|+C D. (1)/(4)log|(1-2x)/(5+2x)|+C

The function f(x)=(1)/(x)[log(1+5x)-log(1+3x)] is undefined at x = 0 . What value must be assigned to f (0) if f (x) is to be continuous at x = 0 .

The number of solutions of (log5+log(x^(2)+1))/(log(x-2))=2 is