log以a为底2的对数+log以a为底2分之一的对数(a>0且a≠1)

问题描述:

log以a为底2的对数+log以a为底2分之一的对数(a>0且a≠1)

loga 2+loga 1/2=loga 2 +loga 2^(-1)=loga 2-loga 2 =0


我用log(a,b)表示以a为底b的对数
log(a,2)+log(a,1/2)
=loga(a,2×1/2)
=log(a,1)
=0

log(a)2+log(a)1/2
=log(a)2+log(a)2^[-1]
=log(a)2-log(a)2
=0