[log2(3)+log4(9)][log3(4)+log9(2)]等于注意：log2的2是下标,后同

分类: 作业答案 • 2021-12-19 17:42:13

问题描述：

[log2(3)+log4(9)][log3(4)+log9(2)]等于
注意：log2的2是下标,后同

答

log4(9)=2*1/2log2(3)=log2(3)
log3(4)=2log3(2)
log9(2)=1/2log3(2)
[log2(3)+log4(9)][log3(4)+log9(2)]
=2log2(3)*5/2log3(2)
=5