比较1/log5(19)+2/log3(19)+3/log2(19) 和 1/log2(派)+2/log5(派)大小

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比较1/log5(19)+2/log3(19)+3/log2(19) 和 1/log2(派)+2/log5(派)大小

比较1/log5(19)+2/log3(19)+3/log2(19) 和 1/log2(派)+2/log5(派)大小
比较1/log5(19)+2/log3(19)+3/log2(19) 和 1/log2(派)+2/log5(派)大小

比较1/log5(19)+2/log3(19)+3/log2(19) 和 1/log2(派)+2/log5(派)大小
用换底公式
1/log5(19)=log5(5)/log5(19)=log19(5)
2/log3(19)=log3(9)/log3(19)=log19(9)
3/log2(19)=log19(8)
1/log5(19)+2/log3(19)+3/log2(19) =log19(22)
同理
1/log2(派)+2/log5(派)=logπ(29)
所以后面的式子更大