1 . 已知
,
,请用a,b表示下列各数的值:
(1)
;
(2)
;
(3)
;
(4)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4a08a2a5540efcdb5a77aa4ea3049884.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/850df3e299d9b1ecbda7e3a59e2a255e.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930f7706c8f0a021d2e81f1cba24cca0.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ede9f9b1dbd9fd7245f8d032fe1f083d.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e7613e04019ca879f8269196d0c3527.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0ed4bed77efc425c51335b4c64761237.png)
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4卷引用:北师大版(2019)必修第一册课本习题 习题4-2
北师大版(2019)必修第一册课本习题 习题4-2(已下线)2.2换底公式-同步精品课堂(北师大版2019必修第一册)(已下线)习题 4-2【导学案】2.2 换底公式课前预习-北师大版2019必修第一册第四章对数运算与对数函数
2 . 判断下列结论是否正确:
(1)若
,则
;
(2)若
,则
;
(3)
;
(4)
;
(5)
.
(1)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/263ea8601828cb0fa20e0e2ce32ce65f.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/39cc033406da2cdd342308972c6701f1.png)
(2)若
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8e3cc614daa9bfdc18893a84c637cb82.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a945357aa4d7cb2bd48c28af862a3078.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d53f44d3cb5e9c3353121cc0394c3a0a.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e580ee5e5d0931f6aa849741d96d8c41.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4ab81a86cf0b464e000d084498a5c473.png)
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3卷引用:北师大版(2019)必修第一册课本习题 习题4-2
3 . 求值:
(1)
;
(2)
;
(3)
;
(4)
;
(5)
;
(6)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b101f5ecc3f1e2556595373a9eb0bfd4.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4fbdc8295e6bf4728ddeb0d5253ac6b9.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2945785f9e33199199ea51162f98f0e7.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/766ac0b3d9c427ac65362bfe95b70fb0.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4bb3dd30eba0d7a7e0d2f13abe98de8.png)
(6)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/192e30cf9e30fabd3b16db511898f779.png)
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3卷引用:北师大版(2019)必修第一册课本习题 习题4-1
4 . 设
,
,
,且
,
,利用对数的换底公式证明:
(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/94440d3e4c073f94f2b266ff99d50e74.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/67ca5fd57c2c2fcc3c7a574fdd1467d9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ea4313f830e9be762a14205f2c2141d7.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c400a615a16a1662de98dfb4e49d58d3.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/406185f4ad8bcd99e23adc8d289088ed.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d4eebfbd681b6faa2f721ce6255e0be7.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0e17444a36dc88474cedf3d1c1a2288a.png)
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8卷引用:北师大版(2019)必修第一册课本习题第四章2.2换底公式
北师大版(2019)必修第一册课本习题第四章2.2换底公式(已下线)4.3 对数(6大题型)精讲-【题型分类归纳】(人教A版2019必修第一册)(已下线)2.2换底公式-同步精品课堂(北师大版2019必修第一册)(已下线)【第三课】4.3.1对数的概念+4.3.2对数的运算【第三课】上好三课,做好三套题,高中数学素养晋级之路(已下线)4.3对数(已下线)2.2 换底公式北师大版(2019)必修第一册课本例题2.2 换底公式【导学案】2.2 换底公式课前预习-北师大版2019必修第一册第四章对数运算与对数函数
5 . 已知
,
,求
的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/50e7d77cef092f1ed844608e2f6c61e9.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f0d07d630f78c8e43f1d1b7ce2b87c23.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/01b3942d87c5d163ce9d3620b2e0853b.png)
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3卷引用:北师大版(2019)必修第一册课本习题第三章复习题
6 . 用
,
,
表示下列各式:
(1)
;
(2)
;
(3)
;
(4)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/db8d1e60de1eee844535bc62247c8776.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/930c3cceb0c8b9c84365d70105886d7b.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3d9432b985fb78d057fc39f8a6086da4.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d7acd079a0711dfaf93f0cb1db884f2b.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/37fd64e60934535f5e61a51d5e86f600.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/56ab4cc438a393fca6eec0cda44da002.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d63a64983612beaacd843d040f8263c4.png)
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6卷引用:北师大版(2019)必修第一册课本习题第四章2.1对数的运算性质
北师大版(2019)必修第一册课本习题第四章2.1对数的运算性质(已下线)2.1对数的运算性质-同步精品课堂(北师大版2019必修第一册)(已下线)4.3 对数(6大题型)精讲-【题型分类归纳】(人教A版2019必修第一册)(已下线)2.1 对数的运算性质北师大版(2019)必修第一册课本例题2.1 对数的运算性质【导学案】2.1 对数的运算性质课前预习-北师大版2019必修第一册第四章对数运算与对数函数
7 . 计算:
(1)
;
(2)
;
(3)
;
(4)
;
(5)
;
(6)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4473c31ef90df547b39ec40632226e0f.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3258b6415787a5e3c1559fb194ea55c0.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7b5ad9ab979912a5ea933126175ae03.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0f1850ce63dcf54b48fd02f97e0b8574.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cb20fe425e62353e1a48a5b50b18e0e0.png)
(6)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1940aa9c9c6b2c81e1afc770423cdb9c.png)
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4卷引用:北师大版(2019)必修第一册课本习题第四章2.1对数的运算性质
8 . 计算:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b3105498fa66897aa420d302824debf9.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e6df776218b8aaeba279b69c8379bcb5.png)
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4卷引用:湘教版(2019)必修第一册课本例题4.3.2对数的运算法则
湘教版(2019)必修第一册课本例题4.3.2对数的运算法则(已下线)专题04 指数与对数-中考点大串讲(苏教版2019必修第一册)(已下线)4.3 对数-同步精品课堂(人教A版2019必修第一册)【导学案】2.1 对数的运算性质课前预习-北师大版2019必修第一册第四章对数运算与对数函数
9 . 将下列指数式化为对数式,对数式化为指数式:
(1)
;
(2)
;
(3)
;
(4)
;
(5)
;
(6)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/feae878a430a1b23774127547d842cb6.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f580e41a2e766a0891cadf278c83a3bd.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/990760af938a666f0d17b280d122dedc.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9c7827e0a90513706653d66d3893108.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/e4a967fd15d5e127bce3678bf08946dd.png)
(6)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/eb6e67076574cf6e62a7d28459e89b76.png)
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3卷引用:湘教版(2019)必修第一册课本例题4.3.1对数的概念
湘教版(2019)必修第一册课本例题4.3.1对数的概念(已下线)专题04 指数与对数-中考点大串讲(苏教版2019必修第一册)【导学案】1.对数的概念课前预习-北师大版2019必修第一册第四章对数运算与对数函数
23-24高一上·江苏·课后作业
10 . (1)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b24c62f8d3c6b87a4968fd7fa1cb1fd0.png)
______ (其中
);
(2)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/415b967795a15dba834c387d7b772a9b.png)
______ ;
(3)![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebf8b21d44e425bbdb98c0bbdb5b0994.png)
_______
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b24c62f8d3c6b87a4968fd7fa1cb1fd0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/12d6962735b673e1d5e282cc6c19feb2.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/415b967795a15dba834c387d7b772a9b.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ebf8b21d44e425bbdb98c0bbdb5b0994.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d125ee721670b0fc64b2c01b633e1776.png)
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