log2(0.5)=(?)、log4(0.5)=(?)、-log2(0.5)=(?)、log2(4)=(?)
问题描述：
log2(0.5)=(?)、log4(0.5)=(?)、-log2(0.5)=(?)、log2(4)=(?)
答
log2(0.5)=log2(2^-1)=-1*log2(2)=-1
log4(0.5)=1/2*log2(2^-1)=-1/2*log2(2)=-1/2
-log2(0.5)=-log2(2^-1)=1*log2(2)=1
log2(4)=log2(2^2)=2*log2(2)=2
答
-1 -1/2 1 2 把0.5换成2的负一次方
答
log2(0.5)=log2(1/2)=log2{2ˆ(-1)}=-1
log4(0.5)=log2²(0.5)=1/2log2(0.5)=-1/2
-log2(0.5)=1
log2(4)=log2(2²)=2