If `(log)_2x+(log)_2ygeq6,` then the least value of `x+y` is 4 (b) 8 (d) 16 (d) 32

if (log)_y x+(log)_x y=2,x^2+y=12 , the value of x y is 9 (b) 12 (c) 15 (d) 30

If log_2x+log_(4)x+log_(16)x=7/2 , find the value of x.

If (log)_3{5+4(log)_3(x-1)}=2, then x is equal to 4 (b) 3 (c) 8 (d) (log)_2 16

If x y^2=4a n d(log)_3((log)_2x)+(log)_(1/3)((log)_(1/2)y)=1 ,then x equals (a) 4 (b) 8 (c) 16 (d) 64

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

The greatest integral value of a such that sqrt( 9 - a^2 + 2x - x^2) >= sqrt(16 - x^2) for at least one positive value of x is (a) 3 (b) 4 (c) 6 (d) 7

Log f(x)=log((log)_(1//3)((log)_7(sinx+a))) be defined for every real value of x , then the possible value of a is 3 (b) 4 (c) 5 (d) 6

If (a+(log)_4 3)/(a+(log)_2 3)=(a+(log)_8 3)/(a+(log)_4 3)=b ,then b is equal to 1/2 (2) 2/3 (c) 1/3 (d) 3/2

If (log)_2x+(log)_x2=(10)/3=(log)_2y+(log)_y2a n dx=y ,t h ex+y= 2 (b) 65/8 (c) 37/6 (d) none of these