If `y=2^(1/log_x 8)` then `x=`

If x^(y)=y^(x) then (dy)/(dx)= ... (A) (y(x log y-y))/(x(y log x-x)) (B) (y(y log x-x))/(x(x log y-y)) (C) (y^(2)(1-log x))/(x^(2)(1-log y)) (D) (y(1-log x))/(x(1-log y))

If log_y x +log_x y=7, then the value of (log_y x)^2+(log_x y)^2, is

If log ((x+y)/3)=1/2 (log x +log y) then find the value of x/y+y/x

If log ((x+y)/3)=1/2 (log x +log y) then find the value of x/y+y/x

If log ((x+y)/3)=1/2 (log x +log y) then find the value of x/y+y/x

If log ((x+y)/3)=1/2 (log x +log y) then find the value of x/y+y/x

If x^y = y^x , then dy/dx = ......... A) frac{y(x log y - y)}{x(y log x -x)} B) frac{y(y log x - x)}{x(x log y -y)} C) frac{y^2 (1- log x)}{x^2 (1- log y)} D) frac{y(1- log x)}{x(1-log y)}

If x ^( log y) = log x, then prove that (dy)/(dx) = (y)/(x) ((1- log x log y)/( (log x) ^(2)))

If log_(y)x+log_(x)y=7, then the value of (log_(y)x)^(2)+(log_(x)y)^(2), is

State, true or false : (i) If log_(10)x = a , then 10^(x) = a (ii) If x^(y) = z , then y = log_(z) x . (iii) log_(2) 8 = 3 and log_(8) 2 = (1)/(3) .