The value of `a^(sqrt((log)_a b))-b^(sqrt((log)_b a))(w h e r ea ,b >0a n da , b!=1)` is equal to...........

The value of a^(("log"_(b)("log"_(b)x))/("log"_(b) a)) , is

The value of a^((log_b(log_bx))/(log_b a)), is

The value of a^x-b^y is (where x=sqrt(log_ab) and y=sqrt(log_ba),agt0,bgt0 and a,bne1 )

Evaluate int_a^b(dx)/(sqrt(x)),w h e r ea , b > 0.

Evaluate int_a^b(dx)/(sqrt(x)),w h e r ea , b > 0.

The value of sum_(r=1)^(n)log((a^(r))/(b^(r-1))) , is

The value of ("log"_(a)("log"_(b)a))/("log"_(b)("log"_(a)b)) , is

Prove that ((log)_a N)/((log)_(a b)N)=1+(log)_a b

Statement I: the equation (log)_(1/(2+|"x"|))(5+x^2)=(log)_()(15+sqrt(x)) has real solutions. Because Statement II: (log)_(1//"b")a=(log)_b a\ (w h e r e\ a ,\ b >0\ a n d\ b!=1) and if number and base both are greater than unity then the number is positive. a. A b. \ B c. \ C d. D

If y=sqrt((a-x)(x-b))- (a-b)tan^(-1)sqrt((a-x)/(x-b)),t h e n d(dy)/(dx) is equal to'