已知函数f(x)=log3(x/27)*log3(ax).(1/27
问题描述：
已知函数f(x)=log3(x/27)*log3(ax).(1/27
数学人气：861 ℃时间：2019-10-19 13:19:10
优质解答
f(x)=(log3x-log327)(log3a+log3x)
f(x)=(log3x-3)(log3a+log3x)
t=log3x
f(t)=(t-3)(log3a+t)
f(t)=log3at+t^2-3log3a-3t
f(t)=t^2+(log3a-3)t-3log3a
f(t)=(t-(log3a-3)/2)^2-(log3a-3)^2/4-3log3a
1/27
f(x)=(log3x-3)(log3a+log3x)
t=log3x
f(t)=(t-3)(log3a+t)
f(t)=log3at+t^2-3log3a-3t
f(t)=t^2+(log3a-3)t-3log3a
f(t)=(t-(log3a-3)/2)^2-(log3a-3)^2/4-3log3a
1/27
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答
f(x)=(log3x-log327)(log3a+log3x)
f(x)=(log3x-3)(log3a+log3x)
t=log3x
f(t)=(t-3)(log3a+t)
f(t)=log3at+t^2-3log3a-3t
f(t)=t^2+(log3a-3)t-3log3a
f(t)=(t-(log3a-3)/2)^2-(log3a-3)^2/4-3log3a
1/27