女性微信语言性暗示:计算:3^log√3 2+log3 2的值

来源:百度文库 编辑:高考问答 时间:2024/05/05 22:46:16

解:3^(log√3 2+log3 2)
=3^[(2log3 2)+log3 2]
=3^[log3 4+log3 2]
=3^(log3 4)×3^(log3 2)
=4×2
=8
公式:a^loga b=b,log(a^m) (b^n)=(n/m)loga b

3^(log√3 2 + log3 2)=3^(2log3 2 +log3 2)=3^(log3 2^3)=3^(log3 8)=8

→3^(log√3 2+log3 2)
=3^[(2log3 2)+log3 2]
=3^[log3 4+log3 2]
=3^(log3 4)×3^(log3 2)
=4×2
=8
这道题触动了公式:a^loga b=b,log(a^m) (b^n)=(n/m)loga b