定义:

若a^n=b(a>0且a≠1)

则n=log(a)(b)

基本性质:

如果a>0,且a≠1,M>0,N>0,那么:

1、a^log(a)(b)=b

2、log(a)(a)=1

3、log(a)(MN)=log(a)(M)+log(a)(N)

4、log(a)(M÷N)=log(a)(M)-log(a)(N)

5、log(a)(M^n)=nlog(a)(M)

6、log(a)[M^(1/n)]=log(a)(M)/n

换底公式

log(a)(N)=log(b){N}÷log(b){a}