1≤a≤b≤c,证明log(a)(b)+log(b)(c)+log(c)(a)≤log(b)(a)+log(c)(b)+

学习时间:2026-04-02 10:50:18 阅读：7601

1≤a≤b≤c,证明log(a)(b)+log(b)(c)+log(c)(a)≤log(b)(a)+log(c)(b)+log(a)(c)

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2026-04-02 10:50:18

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log(a)(b)=x>=1,log(b)(c)=y>=1,则log(c)(a)=1/xy,log(b)(a)=1/x,log(c)(b)=1/y,log(a)(c)=xy然后作差比较