基本內(nèi)容
對(duì)數(shù)的定義:一般地,如果ax=N(a>0,且a≠1),那么數(shù)x叫做以a為底N的對(duì)數(shù),記作x=logaN,讀作以a為底N的對(duì)數(shù),其中a叫做對(duì)數(shù)的底數(shù),N叫做真數(shù)。一般地,函數(shù)y=logax(a>0,且a≠1)叫做對(duì)數(shù)函數(shù),也就是說以指數(shù)為自變量,冪為因變量,底數(shù)為常量的函數(shù),叫對(duì)數(shù)函數(shù)。其中x是自變量,函數(shù)的定義域是(0,+∞)。它實(shí)際上就是指數(shù)函數(shù)的反函數(shù),可表示為x=ay。因此指數(shù)函數(shù)里對(duì)于a的規(guī)定,同樣適用于對(duì)數(shù)函數(shù)?!發(fā)og”是拉丁文logarithm(對(duì)數(shù))的縮寫,讀作:[英][l?ɡ][美][l?ɡ, lɑɡ]。
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