这俩个对数换底公式如何推导?
来源:学生作业帮 编辑:搜搜做题作业网作业帮 分类:数学作业 时间:2024/06/23 14:30:06
这俩个对数换底公式如何推导?
![](http://img.wesiedu.com/upload/b/ea/bea9e5acd3d11b3e02c63ac173f83d1b.jpg)
![](http://img.wesiedu.com/upload/b/ea/bea9e5acd3d11b3e02c63ac173f83d1b.jpg)
![这俩个对数换底公式如何推导?](/uploads/image/z/6712586-26-6.jpg?t=%E8%BF%99%E4%BF%A9%E4%B8%AA%E5%AF%B9%E6%95%B0%E6%8D%A2%E5%BA%95%E5%85%AC%E5%BC%8F%E5%A6%82%E4%BD%95%E6%8E%A8%E5%AF%BC%3F)
log(a^m,N^n) = lg(N^n)/lg(a^m) = nlg(N)/mlg(a) =n/m lg(N)/lg(a) = n/m log(a,N)
log(a,b) = lg(b)/lg(a) = 1/(lg(a)/lg(b) = 1/log(a,b)
不是都是很简单的变换么?
log(a,b) = lg(b)/lg(a) = 1/(lg(a)/lg(b) = 1/log(a,b)
不是都是很简单的变换么?