log以4为底45的对数化简什么?

分类: 作业答案 • 2023-01-20 09:05:38

问题描述：

log以4为底45的对数化简什么?

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