0.4*log以以2为底0.4的对数怎么算,具体点

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0.4*log以以2为底0.4的对数怎么算,具体点

0.4*log以以2为底0.4的对数怎么算,具体点
0.4*log以以2为底0.4的对数怎么算,具体点

0.4*log以以2为底0.4的对数怎么算,具体点
0.4*log2(0.4)
=0.4*log2(4/10)
=0.4*lg(4/10)/lg2
=0.4*(lg4-lg10)/lg2
=0.4*(lg2²/lg2-1/lg2)
=0.4*(2-1/lg2)
=0.4*(2-1/0.3010)
=-0.5788

0.4*log2(0.4)=0.4*log2(2/5)=0.4*(lg(2/5)/lg(2))
=0.4*(lg(4)-lg(10))/lg(2)
=0.4*(2*0.3010-1)/0.3010
=-0.4*0.3980/0.3010
=-0.5289