函数y=f(x)对于任意正实数x、y,都有f(xy)=f(x)•f(y),当x>
问题:
函数y=f(x)对于任意正实数x、y,都有f(xy)=f(x)•f(y),当x>1时,0<f(x)<1,且f(2)=
(1)求证:f(x)f(
(2)判断f(x)在(0,+∞)的单调性;并证明; (3)若f(m)=3,求正实数m的值. |
函数y=f(x)对于任意正实数x、y,都有f(xy)=f(x)•f(y),当x>1时,0<f(x)<1,且f(2)=
(1)求证:f(x)f(
(2)判断f(x)在(0,+∞)的单调性;并证明; (3)若f(m)=3,求正实数m的值. |