若a=log以3为底π的对数,b=log以7为底6的对数,c=log以2为底0.8的对数。则a,b,c的大小关系是

2025-03-01 05:32:07
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回答1:

用换底公式log(A)M=log(b)M/log(b)A (b>0且b≠1)
a=log(6)π/log(6)3 >1
b=log(6)6/log(6)7 则0c=log(6)0.8/log(6)2=(log(6)5-2log(6)2)/log(6)2=log(6)5-2<0
则a>b>c