计算2^2008-2^2010分之2^2009
问题描述：
计算2^2008-2^2010分之2^2009
答
F(log(1/2)24)
=F(-log2(24))
奇函数
=-F[log2(24)]
=-F[log2(6×4)]
=-F[log2(6)+log2(4)]
=-F[log2(6)+2]
=-{-F[log2(6)]}
=F[log2(1.5×4)]
=F[log2(1.5)+log2(4)]
=F[log2(1.5)+2]
=-F[log2(1.5)]
1所以0
=-2^[log2(1.5)]-1
=-1.5-1
=-2.5
答
原式=2×2^2008/(2^2008-2²×2^2008)
=2/(1-2²)
=2/(-3)
=-2/3