`1/2 (logx + logy)` will equal `log((x+y)/2)` if a. `y=0` b. `x=sqrt(y)` c. `x=y` d. `x=y/2`

(1)/(2)(log x+log y) will equal log((x+y)/(2)) if a.y=0 b.x=sqrt(y) c.x=y d.x=(y)/(2)

If 1/2logx+1/2logy+log2=log(x+y) then :

For positive numbers x ,\ y\ a n d\ z the numerical value of the determinant |1(log)_x y(log)_x z(log)_y x1(log)_y z(log)_z x(log)_z y1| is- a. 0 b. logx y z c. "log"(x+y+z) d. logx\ logy\ logz

For positive numbers x ,\ y\ a n d\ z the numerical value of the determinant |1(log)_x y(log)_x z(log)_y x1(log)_y z(log)_z x(log)_z y1| is- a. 0 b. logx y z c. "log"(x+y+z) d. logx\ logy\ logz

For positive numbers x ,\ y\ a n d\ z the numerical value of the determinant |1(log)_x y(log)_x z(log)_y x1(log)_y z(log)_z x(log)_z y1| is- a. 0 b. logx y z c. "log"(x+y+z) d. logx\ logy\ logz

solve y d x+x log (y/x) d y-2 x d y=0

If f(x)=cos((log)_e x),\ t h e n\ f(1/x)f(1/y)-1/2{f(x y)+f(x/y)} is equal to a. "cos"(x-y) b. log(cos(x-y)) c. 0 d. "cos"(x+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(logx+logy) , then find the values of (x)/(y)+(y)/(x).