比较1/log5(19)+2/log3(19)+3/log2(19) 和 1/log2(派)+2/log5(派)大小
问题描述:
比较1/log5(19)+2/log3(19)+3/log2(19) 和 1/log2(派)+2/log5(派)大小
答
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...