求log2 1-log2 0.105=3.25为什么是怎么算的?如题_数学解答

求log2 1-log2 0.105=3.25为什么是怎么算的?
如题

人气：121 ℃　时间：2020-06-28 23:12:28

解答

log2(1)-log2(0.105)
=0-log2(0.105)
=-log2(0.105)
=log2[(0.105)^(-1)]
=log2[(21/200)^(-1)]
=log2[200/21]
=log2[200]-log2[21]
=log2[2*100]-log2[21]
=1+log2[4*25]-log2[21]
=1+2+log2[25/21]
=3+log2[25/21]