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高一函数【运算对数】运算:(log【2】3-log【4】27)×(log【3】4+log【9】8)【 】内的是底数.

来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/05/04 19:47:58
高一函数【运算对数】
运算:
(log【2】3-log【4】27)×(log【3】4+log【9】8)
【 】内的是底数.
(log【2】3-log【4】27)×(log【3】4+log【9】8)
=(log【2】3-log【2²】3³)×(log【3】2²+log【3²】2³)
=(log【2】3-(3/2)log【2】3)×(2log【3】2+(3/2)log【3】2)
=(-1/2)log【2】3 ×(7/2)log【3】2
=(-1/2)×(7/2)×1
=-7/4
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