1 . 当
,且
时,常用对数
和自然对数
可以互相转换,即存在实数A,使得
.你能推导出A的值吗?
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a2a891d21bb2c7a11304beaab5054074.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d582a8ea1d1846b22372ea56f6e44783.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a8ccb245042079bba161c53d431a9160.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/99f75a1642a5a899bf4a2c7e13a91273.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b57f9b2e089c13cfe604500815634606.png)
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2 . 利用对数的换底公式计算:
(1)
;
(2)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a9ff22f92d58ed85b08d25d9f4d3aec6.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/86764bc88cfc2aeec69d560d10ba42c9.png)
您最近一年使用:0次
3 . 已知a,b是方程
的两个实数根,求下列各式的值:
(1)
;
(2)
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/b632669adb8f2859f1335aedb63512a6.png)
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/04af04d6a45fd724ad8b8de78b615965.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/c5c9cd9d577c47efbdcefd03d71792be.png)
您最近一年使用:0次
4 . 求下列各式中x的值:
(1)
;
(2)
;
(3)
;
(4)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0cac86bbb31ee7d9ecaaf30b3a030b40.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/0a490d8054f7f0342d5e79da8d9ba568.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4c9f6031400e6f0608f9b7c4a3eff788.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/9a95aeea8a9a747c198e5c1772287a2d.png)
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5 . 求值:
(1)
;
(2)
;
(3)
;
(4)
;
(5)
;
(6)
;
(7)
;
(8)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/738f315a3d366fec9eae6597cda3d625.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/57c08dce84166f81e44ab85603bf7033.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/608dc60f6d3a978701060e4a5d716357.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/054e3da8fd8803b042e5f13beb8ac16e.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f30db5859c8a105ca354310bb396a085.png)
(6)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/f6f8e5d7a8082a7077d1633ae86eed55.png)
(7)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2ae38427793c44fabd9b7531aabd626c.png)
(8)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d68d0c7834f382482c5f8ca5bcd252c7.png)
您最近一年使用:0次
6 . 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)
您最近一年使用:0次
2023-10-09更新
|
247次组卷
|
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
7 . 求值:
(1)
;
(2)
;
(3)
;
(4)
;
(5)
;
(6)
;
(7)
;
(8)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c806fb25495ec94cd303871cec4c36d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/a5559ddc6591d0673419a6876e75b476.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7a7a8ca9cb5ac9915fffdcd12924c581.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/76220bb578e871c7dba4f8b853f73764.png)
(5)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/004059979afc03b36b9392d037e8a667.png)
(6)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/875a17caae550b5631ece3345a0c25a4.png)
(7)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/5be6de2c4e7230d99faf49c68ab9bbb8.png)
(8)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/2c2ee362f4eff093869661fd6313f143.png)
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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)
您最近一年使用:0次
2023-10-08更新
|
104次组卷
|
3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
9 . 分别计算下列各式,你能得出什么结论?
(1)
;
(2)
;
(3)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d79125718f5b52898cd5c7999d250a0d.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/cbfb15e90322a2bc9c0120f8ff9c7708.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/30f94d17442ee3f4bd8026370703bbbd.png)
您最近一年使用:0次
2023-10-08更新
|
190次组卷
|
3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
10 . 计算:
(1)
;
(2)
;
(3)
;
(4)
.
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/3238ca48a21579333c422878d51241ba.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/492de122787af5c71321da568a2eb8a4.png)
(3)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/986ac5b4c130cea0aef70480c3094bcb.png)
(4)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/d90e1e963820f410e1ca074d40954610.png)
您最近一年使用:0次
2023-10-08更新
|
495次组卷
|
4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 换底公式北师大版(2019)必修第一册课本例题2.2 换底公式