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log的公式大全 log以4為底8的對(duì)數(shù)?

log以4為底8的對(duì)數(shù)?等于1.5,對(duì)數(shù)基8與4的對(duì)數(shù)等于對(duì)數(shù)基8與log2的對(duì)數(shù)除以對(duì)數(shù)基4與log2的對(duì)數(shù)。以8為底的log2的對(duì)數(shù)等于3以4為底的log2的對(duì)數(shù)等于2因此為1.5。log以2為底

log以4為底8的對(duì)數(shù)?

等于1.5,對(duì)數(shù)基8與4的對(duì)數(shù)等于對(duì)數(shù)基8與log2的對(duì)數(shù)除以對(duì)數(shù)基4與log2的對(duì)數(shù)。

以8為底的log2的對(duì)數(shù)等于3

以4為底的log2的對(duì)數(shù)等于2

因此為1.5。

log以2為底4的對(duì)數(shù)等于多少?

以2為對(duì)數(shù)基的4的對(duì)數(shù)等于2,因?yàn)? 2=4的指數(shù)形式轉(zhuǎn)換為對(duì)數(shù)形式,即以2為對(duì)數(shù)基的4的對(duì)數(shù)等于2。

log以3為底4的對(duì)數(shù)?

Log3是以4為底的對(duì)數(shù):Log3(4)=Log3(2)^2=2log3(2)=2lg2/Lg3。在數(shù)學(xué)中,對(duì)數(shù)是冪的逆運(yùn)算,正如除法是乘法的倒數(shù),反之亦然。這意味著一個(gè)數(shù)的對(duì)數(shù)是必須產(chǎn)生另一個(gè)固定數(shù)的指數(shù)。

log以4為底8的對(duì)數(shù)是幾,咋算的?

可以看出對(duì)數(shù)log8(4)=log2^3(2^2)=(2/3)log2(2)=2/3,即8=2^3,4=2^2,將基數(shù)的指數(shù)3轉(zhuǎn)化為系數(shù)的分母,將實(shí)數(shù)的指數(shù)2轉(zhuǎn)化為系數(shù)的分子,得到2/3,對(duì)數(shù)變?yōu)閘og2(2)=1,

log以4為底8的對(duì)數(shù)=?

log(4,2)=log(22,2)=(1/2)×log(2,2)=1/2