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log3(9)=2? 为什么啊

换底公式:loga(b)=logc(b)/logc(a) 左边换成以3为底 =log3(2)/log3(9)=右边

log(老哥)以三为底九的对数等于二!望采纳!谢谢!

Log3(9)等于多少,假如以3为底,9为真数的对数,那么结果是2。

log2(9)=log2(3²)=2log2(3) ∴log2(9)×log3(2)=2log2(3)×log3(2) =2×1 =2 望采纳

log(3)9=log(3)3^2 =2log(3)3 =2x1 =2.

解析 可以这么来做 log3 9^(-1) =-log3 9 =-2 希望对你有帮助 学习进步O(∩_∩)O谢谢

2log3(2)-log3(32/9)+log3(8)-5^log5(3) =log3(4)-log3(32/9)+log3(8)-3 =log3(4*8)-log3(32/9)-3 =log3(32)-log3(32/9)-3 =log3(32/(32/9))-3 =log3(9)-3 =2-3 =-1

(log3 2+log9 2)*(log4 3+log8 3) =(lg2/lg3+lg2/lg9)*(lg3/lg4+lg3/lg8) =(lg2/lg3+lg2/2lg3)*(lg3/2lg2+lg3/3lg2 =3/2*lg2/lg3*5/6*lg3/lg2 =3/2*5/6=5/4

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