1 . 将下列对数式改写为指数式:
(1)
;
(2)
;
(3)
;
(4)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/236b49be967607ef6a4d9954c9268608.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c051da38cb91e75529d5efe5d803fdb8.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/fd721686c8ee7cbcbabac4c5ef2c2e84.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b7bebdb7c4e206c6525a9bf31da823de.png)
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2 . 将下列指数式改写为对数式:
(1)
;
(2)
;
(3)
;
(4)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a4d58a9daa5736ec597957257887a5d0.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f60fd738dfdceae68c1efbcb10fa23d.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4bb0b1ac402d9fe6f79ffa526d998d6a.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09854c17b8faef28da2a68209c7ff055.png)
您最近一年使用:0次
解题方法
3 . 求使下列不等式成立的实数x的集合:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d09a038155a6da04528bc93dd478842c.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7571c68c3c10921a2c3aabcbced2f935.png)
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2023-10-08更新
|
282次组卷
|
5卷引用:3.2 对数函数的图象和性质
(已下线)3.2 对数函数的图象和性质北师大版(2019)必修第一册课本习题第四章3.2对数函数y = log 2 x 的的图象和性质(已下线)4.4 对数函数(10大题型)精练-【题型分类归纳】(人教A版2019必修第一册)北师大版(2019)必修第一册课本例题3.2 对数函数y=log2x的图象和性质【导学案】3.2 对数函数y=log2x的图象和性质课前预习-北师大版2019必修第一册第四章对数运算与对数函数
解题方法
4 . 比较下列各题中两个数的大小:
(1)
,
;
(2)
,
;
(3)
,
;
(4)
,
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2a6a917c68cf11ed28247b73c18386cf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/450f21fdaee3b04dfceb490e0eb49802.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/10ee06dc94225fb7acc219eee308a1f5.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6bc9cd7d1888609d26d1f98d2f98456b.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3ffe3c10b3dffee72996dc81f44d71bc.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/6266400e2f67ea46c0999179febd1ddb.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/8c29c210721c6ffd2cb34c5c843a5224.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ba46dfa80bb296836da905cffce8f050.png)
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2023-10-08更新
|
95次组卷
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3卷引用:3.2 对数函数的图象和性质
5 . 求值:
(1)
;
(2)
;
(3)
;
(4)
;
(5)
;
(6)
;
(7)
;
(8)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f7596013c17c7ab1b77da624a51ab4d1.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bb9ab0de87d0d733cf88e0c6f8ed035c.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/72e5954148c566b48d758c8573ea0d31.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/55a83efb95cb643ccd4e8bc4afc5e34c.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5f2cf42d826c8103755168ebf9c9d0d1.png)
(6)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/deba0e07e16e94abd714e450558032be.png)
(7)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/00ab98a363f06d3dc23b41a563f0a54a.png)
(8)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c9c432ed25fdf08876ca3273380a5afd.png)
您最近一年使用:0次
2023-10-08更新
|
128次组卷
|
3卷引用:§1对数的概念
6 . 将下列对数式改写为指数式:
(1)
;
(2)
;
(3)
;
(4)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d231817e10ead78d18a88dec02fa64f4.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/63eef60ec42026e92fcdc5ccf7d5c816.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/705549603ef61a0a7faeaeab9348e7fa.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d50bf1b6d58e4933aea25e67085d21a0.png)
您最近一年使用:0次
2023-10-08更新
|
315次组卷
|
3卷引用:§1对数的概念
7 . 将下列指数式改写为对数式:
(1)
;
(2)
;
(3)
;
(4)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b6753d357e2eeb4d710ee87f7bfab2fa.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a7e611e0c10613b9ec55db1ea9dda014.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/75df767339de0ed243ecd95a077f92a8.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/1f3ab85db456b851bb7bed23fc9a187f.png)
您最近一年使用:0次
2023-10-08更新
|
242次组卷
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3卷引用:§1对数的概念
8 . 设a,b是正数,且
,
,求a的值.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/efdc0e0ca559f0f1af6127545f356fa2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd04c6b9cc47521108979a622c2b7c83.png)
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2023-10-08更新
|
105次组卷
|
3卷引用:2.2 换底公式
9 . 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)
您最近一年使用:0次
2023-10-08更新
|
270次组卷
|
8卷引用:2.2 换底公式
(已下线)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
10 . 求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c3594c29c92c03a94e6e22479892af3.png)
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2023-10-08更新
|
195次组卷
|
4卷引用:2.2 换底公式
(已下线)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)精练-【题型分类归纳】(人教A版2019必修第一册)北师大版(2019)必修第一册课本例题2.2 换底公式