• 2024-09-25【高中数学/对数/比大小】a=log(11,13) vs b=log(41,47)
    【问题】请比较两数a=log(11,13)与b=log(41,47)的大小。【解答】a=log(11,13)=log(11^3,13^3)=log(1331,2191)b=log(41,47)=log(41^2,47^2)=log(1681,2209)因为真数2191很接近2209而底数1331明显小于1681故指数a必大于bEND