f(x)=100^x-1=1000 (x-1)lf100=lg1000 (x-1)=3/2f(x)=100^x-1=1000 (x-1)lf100=lg1000 (x-1)=3/2 x=5/2 f^-1(1000)=5/2,我想知道lf是什么,怎么来的!怎么移动变为3/2,大神看14题
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![f(x)=100^x-1=1000 (x-1)lf100=lg1000 (x-1)=3/2f(x)=100^x-1=1000 (x-1)lf100=lg1000 (x-1)=3/2 x=5/2 f^-1(1000)=5/2,我想知道lf是什么,怎么来的!怎么移动变为3/2,大神看14题](/uploads/image/z/5245140-12-0.jpg?t=f%28x%29%3D100%5Ex-1%3D1000+%28x-1%29lf100%3Dlg1000+%28x-1%29%3D3%2F2f%28x%29%3D100%5Ex-1%3D1000+%28x-1%29lf100%3Dlg1000+%28x-1%29%3D3%2F2+x%3D5%2F2+f%5E-1%281000%29%3D5%2F2%2C%E6%88%91%E6%83%B3%E7%9F%A5%E9%81%93lf%E6%98%AF%E4%BB%80%E4%B9%88%2C%E6%80%8E%E4%B9%88%E6%9D%A5%E7%9A%84%21%E6%80%8E%E4%B9%88%E7%A7%BB%E5%8A%A8%E5%8F%98%E4%B8%BA3%2F2%2C%E5%A4%A7%E7%A5%9E%E7%9C%8B14%E9%A2%98)
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f(x)=100^x-1=1000 (x-1)lf100=lg1000 (x-1)=3/2f(x)=100^x-1=1000 (x-1)lf100=lg1000 (x-1)=3/2 x=5/2 f^-1(1000)=5/2,我想知道lf是什么,怎么来的!怎么移动变为3/2,大神看14题
f(x)=100^x-1=1000 (x-1)lf100=lg1000 (x-1)=3/2
f(x)=100^x-1=1000
(x-1)lf100=lg1000
(x-1)=3/2
x=5/2
f^-1(1000)=5/2,我想知道lf是什么,怎么来的!怎么移动变为3/2,大神看14题
f(x)=100^x-1=1000 (x-1)lf100=lg1000 (x-1)=3/2f(x)=100^x-1=1000 (x-1)lf100=lg1000 (x-1)=3/2 x=5/2 f^-1(1000)=5/2,我想知道lf是什么,怎么来的!怎么移动变为3/2,大神看14题
两边取导lg
lg(f(x))=lg(100^x-1)=lg(1000)
lg(f(x))=(x-1).lg(100)=lg(1000)
lg(f(x))=(x-1).lg10^2=lg10^3
(x-1)lg10^2=lg10^3
2(x-1)=3
(x-1)=3/2
x=5/2
f(x)=f(5/2)=1000
f^-1(1000)=5/2
gejjfe=54663
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