函数f(x)=logax(a>0,a不等与1)若f(x1)-f(x2)=1,则f(x1²)-f(x2²)=

函数f(x)=logax(a>0,a不等与1)若f(x1)-f(x2)=1,则f(x1²)-f(x2²)=
函数f(x)=logax(a>0,a不等与1)若f(x1)-f(x2)=1,则f(x1²)-f(x2²)=

函数f(x)=logax(a>0,a不等与1)若f(x1)-f(x2)=1,则f(x1²)-f(x2²)=
2
f(x1)-f(x2)=logax1/x2=1,所以x1/x2=a,f(x1²)-f(x2²)=logax1²/x2²=2logax1/x2=2.

loga(x1)-loga(x2)=loga(x1/x2)=1
(x1/x2)=a
(x1²)-f(x2²)=loga(x1/x2)²=2