题文
2log510+![2log510+=[ ]A.0 B.1 C.2 D.4 2log510+=[ ]A.0 B.1 C.2 D.4](https://www.mshxw.com/file/tupian/20220211/83db0a4dd76dc73e142fa3b95dc7bf7a.gif)
=
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A.0B.1
C.2
D.4 题型:未知 难度:其他题型
答案
C点击查看对数与对数运算知识点讲解,巩固学习
解析
该题暂无解析
考点
据考高分专家说,试题“2log510+=[ ].....”主要考查你对 [对数与对数运算 ]考点的理解。 对数与对数运算对数的定义:
如果ax=N(a>0,且a≠1),那么数x叫做以a为底N的对数,记做![2log510+=[ ]A.0 B.1 C.2 D.4 2log510+=[ ]A.0 B.1 C.2 D.4](https://www.mshxw.com/file/tupian/20220211/Fo6lNjK8FYz3cJyXtrSvPWmpwOLJ.gif)
,其中a叫做对数的底数,N叫做真数。
通常以10为底的对数叫做常用对数,记做![2log510+=[ ]A.0 B.1 C.2 D.4 2log510+=[ ]A.0 B.1 C.2 D.4](https://www.mshxw.com/file/tupian/20220211/FrMVrS5xjiCI_qamXhF6H0WqJqqp.gif)
;
以无理数e=2.71828…为底的对数叫做自然对数,记做![2log510+=[ ]A.0 B.1 C.2 D.4 2log510+=[ ]A.0 B.1 C.2 D.4](https://www.mshxw.com/file/tupian/20220211/20111026164645001.gif)
。
由定义知负数和0没有对数。
自然对数:
以e为底的对数叫做自然对数,e是无理数,e≈-2. 718 28,![2log510+=[ ]A.0 B.1 C.2 D.4 2log510+=[ ]A.0 B.1 C.2 D.4](https://www.mshxw.com/file/tupian/20220211/Fom81PyGODUXk6mK8AYC8Cph4xDa.jpg)
。
对数的运算性质:
如果a>0,且a≠1,M>0,N>0,那么
(1)![2log510+=[ ]A.0 B.1 C.2 D.4 2log510+=[ ]A.0 B.1 C.2 D.4](https://www.mshxw.com/file/tupian/20220211/20120828163806417889.png)
;
(2)![2log510+=[ ]A.0 B.1 C.2 D.4 2log510+=[ ]A.0 B.1 C.2 D.4](https://www.mshxw.com/file/tupian/20220211/20111026164803001.gif)
;
(3)![2log510+=[ ]A.0 B.1 C.2 D.4 2log510+=[ ]A.0 B.1 C.2 D.4](https://www.mshxw.com/file/tupian/20220211/20111026164825001.gif)
;
(4)![2log510+=[ ]A.0 B.1 C.2 D.4 2log510+=[ ]A.0 B.1 C.2 D.4](https://www.mshxw.com/file/tupian/20220211/FjU7iUASiixLZxF63BUmItzchiUo.gif)
。
对数的恒等式:
对数的换底公式及其推论:
对数式的化简与求值:
(1)化同底是对数式变形的首选方向,其中经常用到换底公式及其推论.
(2)结合对数定义,适时进行对数式与指数式的互化.
(3)利用对数运算法则,在积、商、幂的对数与对数的和、差、倍之间进行转化,


![2log510+=[ ]A.0 B.1 C.2 D.4 2log510+=[ ]A.0 B.1 C.2 D.4](https://www.mshxw.com/file/tupian/20220211/FotHKtcfg4oF1t7MQP0pzYoijhk3.jpg)
![2log510+=[ ]A.0 B.1 C.2 D.4 2log510+=[ ]A.0 B.1 C.2 D.4](https://www.mshxw.com/file/tupian/20220211/Fvh6Sg_rz9fH1dvxkjJ6r8emSNmc.gif)
![2log510+=[ ]A.0 B.1 C.2 D.4 2log510+=[ ]A.0 B.1 C.2 D.4](https://www.mshxw.com/file/tupian/20220211/20111026165014001.gif)
![2log510+=[ ]A.0 B.1 C.2 D.4 2log510+=[ ]A.0 B.1 C.2 D.4](https://www.mshxw.com/file/tupian/20220211/20111026165051001.gif)
![2log510+=[ ]A.0 B.1 C.2 D.4 2log510+=[ ]A.0 B.1 C.2 D.4](https://www.mshxw.com/file/tupian/20220211/20111026165109001.gif)
![2log510+=[ ]A.0 B.1 C.2 D.4 2log510+=[ ]A.0 B.1 C.2 D.4](https://www.mshxw.com/file/tupian/20220211/20111026165133001.gif)
![2log510+=[ ]A.0 B.1 C.2 D.4 2log510+=[ ]A.0 B.1 C.2 D.4](https://www.mshxw.com/file/tupian/20220211/2013112515540398428973.jpg)
