文档介绍：blog1、ababa2、bloga3、logMNMaloglogaNaM4、logMNaloglogaNa5、lognManlogMa6、log1MnloganMa1、a^(log(a)(b))=b2、log(a)(a^b)=b3、log(a)(MN)=log(a)(M)+log(a)(N);4、log(a)(MN÷)=log(a)(M)-log(a)(N);5、log(a)(M^n)=nlog(a)(M)6、log(a^n)M=1/nlog(a)(M)推导1、因为n=log(a)(b),代入则a^n=b,即a^(log(a)(b))=b。2、因为a^b=a^b令t=a^b所以a^b=t,b=log(a)(t)=log(a)(a^b)3、MN=M×N由基本性质1(换掉M和N)a^[log(a)(MN)]=a^[log(a)(M)]a^[log×(a)(N)]=(M)*(N)由指数的性质a^[log(a)(MN)]=a^{[log(a)(M)]+[log(a)(N)]}两种方法只是性质不同,采用方法依实际情况而定又因为指数函数是单调函数,所以log(a)(MN)=log(a)(M)+log(a)(N)4、与(3)类似处理MN=M÷N由基本性质1(换掉M和N)a^[log(a)(MN÷)]=a^[log(a)(M)]a^[l÷og(a)(N)]由指数的性质a^[log(a)(MN÷)]=a^{[log(a)(M)]-[log(a)(N)]}又因为指数函数是单调函数,所以log(a)(MN÷)=log(a)(M)-log(a)(N)5、与(3)类似处理M^n=M^n