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2^log(4)(3)加3^log(9)(1/4)加5^log(1/25)(2)

来源:学生作业帮 编辑:作业帮 分类:数学作业 时间:2024/05/06 06:24:13
2^log(4)(3)加3^log(9)(1/4)加5^log(1/25)(2)
用对数恒等式.
2^log(4)(3)+3^log(9)(1/4)+5^log(1/25)(2)
=【4^log(4)(3)】^(1/2)+【9^log(9)(1/4)】^(1/2)+【25^log(25)(1/2)】^(1/2)
=3^(1/2)+(1/4)^(1/2)+(1/2)^(1/2)
=√3+1/2+√2/2.