求值：[log6(3)]^2+log6(18)/log2(6)

分类: 作业答案 • 2021-11-12 23:30:37

问题描述：

求值：[log6(3)]^2+log6(18)/log2(6)
[log6(3)]^2+log6(18)/log2(6)

答

[log6(3)]^2+log6(18)/log2(6)
=[log6(3)]^2+log6(3^2 * 2)*[log6(2)]
=[log6(3)]^2+2log6(3)log6(2)+[log6(2)]^2
=[log6(3)+log6(2)]^2
=[log6(3*2)]^2
=1