If `x = "log"_(0.1) 0.001, y = "log"_(9) 81`, then `sqrt(x - 2sqrt(y))` is equal to

If y= log [x + sqrt(9 + x^(2))], "then" (dy)/(dx) is equal to

If y=x^3(log)_e(1+x) , then y'(0) is equal to.......

If y= log (sqrt(x - 1)) - sqrt(x + 1)) , "then " (dy)/(dx) is equal to

Suppose that, log_(10) (x-2) + log_(10) y=0 and sqrt(x)+sqrt(y-2)=sqrt(x+y) . Then the value of (x + y) , is

Suppose that, log_(10) (x-2) + log_(10) y=0 and sqrt(x)+sqrt(y-2)=sqrt(x+y) . Then the value of (x + y) , is

y=log[sqrt(x-a)+sqrt(x-b)]

Suppose that log_(10)(x-2)+log_(10)y=0 and sqrt(x)+sqrt(y-2)=sqrt(x+y) Then the value of (x+y) is

int_(0)^(1)log(sqrt(1-x)+sqrt(1+x))dx equals:

If log(x-y)-log5-(1)/(2)log x-(1)/(2)log y=0 then (x)/(y)+(y)/(x) is equal to