1 . 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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2 . 一种放射性物质不断变化为其他物质,每经过一年,剩余质量约是原来的75%.经过多少年,该物质的剩余质量是原来的
?(
,
,结果精确到0.001)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/4dac452fbb5ef6dd653e7fbbef639484.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/282724a3b2b45f1966a91389fdcedfcf.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/09e5aecc7c32f46bc083030629cdd81a.png)
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3 . 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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4 . 仿照“用计算器求
的值”的方法,证明对数的换底公式.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/ed5faff5d08e2976e15f0cec988ced37.png)
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2023-10-08更新
|
37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
5 . 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)
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2023-10-08更新
|
498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
6 . 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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2023-10-08更新
|
269次组卷
|
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
7 . 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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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
8 . 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)
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2023-10-08更新
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191次组卷
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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 . 求证:
.
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/7c3594c29c92c03a94e6e22479892af3.png)
您最近一年使用:0次
2023-10-08更新
|
195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)精练-【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
10 . 求值:
(1)
;
(2)
(
,
,
,
,
).
(1)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/59a584787be18da959ea1bdb7183a786.png)
(2)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/bd46fabbb203bc40d09e4cee33cb7f89.png)
![](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/2958030ec9d7543dda1f529593a915e2.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/58b140e221ddf537b8964fff8557cca0.png)
![](https://staticzujuan.xkw.com/quesimg/Upload/formula/060e7930731eddbcfac592b808e9b698.png)
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