log4為底8等于多少 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4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)=？
不
！應(yīng)該是：
log4[8]=LG8/LG4=（3lg2）/（2lg2）=3/2