log以4为底45的对数化简什么?_数学解答

log以4为底45的对数化简什么?

人气：353 ℃　时间：2020-01-28 23:57:26

解答

log4 (45)
=log2 (45^0.5)
=log2 (3*5^0.5)
=(log (3)+log (5^0.5))/log (2)
=(log (3)+(log (5))/2)/log (2)
=2.74592655