求证:log1/2(1/4^a+1/4^b)

问题描述:

求证:log1/2(1/4^a+1/4^b)

1/4^a+1/4^b≥2√[(1/4^a﹚﹙1/4^b)]=(1/2﹚^﹙a+b-1)
∴log1/2(1/4^a+1/4^b)≤a+b-1