log公式 log公式计算

基本性质: 1、a^(log(a)(b))=b 2、log(a)(a^b)=b 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^n)M=1/nlog(a)(M) 换底公式: ㏒c b ㏒a b=━━━━ ㏒c b 推倒公式:log(a^n)(b^m)=m/n*[log(a)(b)]

当a>0且a≠1时,m>0,n>0,那么: (1)log(a)(mn)=log(a)(m)+log(a)(n); (2)log(a)(m/n)=log(a)(m)-log(a)(n); (3)log(a)(m^n)=nlog(a)(m) (n∈r) (4)log(a^n)(m.

当a>0且a≠1时,M>0,N>0,那么:(1)log(a)(MN)=log(a)(M)+log(a)(N); (2)log(a)(M/N)=log(a)(M)-log(a)(N); (3)log(a)(M^n)=nlog(a)(M) (n∈R) (4)换底公式:log(A)M=log(b)M.

1.设 x=logaM y=logaN M=a^x N=a^y MN=(a^x)*(a^y)=a^(x+y) 两边取对数 logaMN=x+y=logaM+logaN 2.这个是 logaM/N=logaM-logaN 设 x=logaM y=logaN M=a^x N=a^y M/N=(a^x)/(a^y)=a^(x-y) 两边取对数得 logaM/N=x-y=logaM-logaN 3.logaM^n=loga[M*M*M*M*……*M]=logaM+logaM+…………+logaM =nlogaM

如果a(a>0,且a≠1)的b次幂等于n,即ab=n,那么数b叫做以a为底n的对数,记作:. alogan=n,logaab=b. 特别地,以10为底的对数叫常用对数,记作log10n,简记为lgn;.

(1)loga(m.n)=longam+longan(2)longa(m/n)=longam-longan(3)logam的n次方=nlogam(4)logam的n次开方=logam的n次方分之一,或=1/nlogam(5)loga的n次方m,=1/nlogam(6)logaa=1(7)alogan=n(a>0且a不等于1,n>0)(8)logab=logmb/logma(换底公式) ps lg10=lg(常用对数) loge=ln(自然对数) loga1=0

对数的概念 如果a^n=b,那么log(a)(b)=n.其中,a叫做“底数”,b叫做“真数”,n叫做“以a为底b的对数”. log(a)(b)函数叫做对数函数.对数函数中b的定义域是b>0,.

用^表示乘方,用log(a)(b)表示以a为底,b的对数 *表示乘号,/表示除号 定义式: 若a^n=b(a>0且a≠1) 则n=log(a)(b) 基本性质: 1.a^(log(a)(b))=b 2.log(a)(mn)=log(a)(m).

公式如下:1、a^log(a)(b)=b2、log(a)(a)=13、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)/n7、logab*logba=18、log(a^n)(b^m)=log(e^y)(e^x)=x/y x=ln(b^m),y=ln(a^n) 得:log(a^n)(b^m)=ln(b^m)÷ln(a^n) 希望我的回答能够帮到你.

基本性质: 1、a^(log(a)(b))=b 2、log(a)(a^b)=b 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^n)M=1/nlog(a)(M.