已知f(x)在定義域(0,正無(wú)窮)且f(x)為增函數(shù).f(xy)=f(x)+f(y),f(3)=1,解不等式f(a)>f(a-1)+2,求a的取值范圍
已知f(x)在定義域(0,正無(wú)窮)且f(x)為增函數(shù).f(xy)=f(x)+f(y),f(3)=1,且不等式f(a)>f(a-1)+2,求a的取值范圍
f(3)+f(3)=f(9)=2
f(a-1)+2=f(a-1)+f(9)=f(9a-9)
9a-9
a<9/8
f(x)在定義域(0,正無(wú)窮)且f(x)為增函數(shù)
a-1>0
a>1
1