1：求证:log1/2(1/4^a+1/4^b)小于等于a+b-11/2是log的底数

Question

1：求证:log1/2(1/4^a+1/4^b)小于等于a+b-1
1/2是log的底数

Answer 1

log1/2(1/4^a+1/4^b)
=log1/2[(1/2^2)^a+(1/2^2)^b]
=log1/2[1/2^2a+1/2^2b]