log和ln之間的換算推導(dǎo) log和ln之間的換算?
log和ln之間的換算?Log(c)(a*b)=Log(c)a Log(c)b-相當(dāng)于與相同基數(shù)的冪相乘,常數(shù)基數(shù)“指數(shù)加法”Log(c)(a/b)=Log(c)a/Log(c)b-相當(dāng)于與相同基數(shù)的
log和ln之間的換算?
Log(c)(a*b)=Log(c)a Log(c)b-相當(dāng)于與相同基數(shù)的冪相乘,常數(shù)基數(shù)“指數(shù)加法”Log(c)(a/b)=Log(c)a/Log(c)b-相當(dāng)于與相同基數(shù)的冪相除,常數(shù)基數(shù)“指數(shù)減法”2。Log(c)(a^n)=n*Log(c)a Log(c)a=Log(b)a/Log(b)c-底公式這是一些常用的對(duì)數(shù)公式。
log和ln存在怎樣的關(guān)系?
logex=LNX
以e為底的對(duì)數(shù)是ln
ln是自然對(duì)數(shù),以e為底的對(duì)數(shù),LG是常用對(duì)數(shù),以10為底的對(duì)數(shù),Log是一般對(duì)數(shù),它可以基于任何大于0且不等于1的數(shù)字
~]㏒它是拉丁語(yǔ)中對(duì)數(shù)的縮寫(xiě)㏑以e為底的對(duì)數(shù)為方便稱(chēng)為自然對(duì)數(shù)n㏒en的自然對(duì)數(shù)縮寫(xiě)為㏑n,例如,自然對(duì)數(shù)㏒E3縮寫(xiě)為㏑3,e=2.71828···················································································································································;
log和LN轉(zhuǎn)換公式:
logn=lnn/ln10
lnn=logn/loge
LN是以e為底的log函數(shù)
LG是以10為底的log函數(shù)
logx×log=log(x y)
logx/log=log(x-y)
log,ln,lg的具體含義和關(guān)系?
log是對(duì)數(shù)符號(hào)。右邊的實(shí)數(shù)和底數(shù)(上面是實(shí)數(shù),下面是底數(shù))在底數(shù)為10時(shí)縮寫(xiě)為L(zhǎng)G,在底數(shù)為e時(shí)縮寫(xiě)為L(zhǎng)N。例如,LN5是以e為底數(shù),5為實(shí)數(shù)的對(duì)數(shù)。