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E.設a,b,x皆為正整數且滿足a≦x≦b及b-a=2。
若用內插法從loga,logb求得logx的近似值為
logx≈(1/3)loga+(2/3)logb=(1/3)(1+2log3-log2)+(2/3)(4log2+log3),
則x的值為______。
loga b 在 Prove that loga(b)=log(b)/log(a) - Math Stack Exchange 的推薦與評價
Hint: yours holds if and only if log(a)loga(b)=log(b). which in turn is true if and only if elog(a)loga(b)=elog(b). I hope you can take it from here, ... ... <看更多>
loga b 在 How to expand and compute log(a + b)? [closed] - Stack ... 的推薦與評價
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