高一数学log公式大全 对数函数知识点总结

对数函数的常用简略表达方式: (1)log(a)(b)=log(a)(b)(a为底数) (2)lg(b)=log(10)(b) (10为底数) (3)ln(b)=log(e)(b) (e为底数) 对数函数的运算性质: 如果a〉0,且a不等于1,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属于R) (4)log(a^k)(M^n)=(n/k)log(a)(M) (n属于R) (5) a^log(a)(N)=N

定义: 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)+log(a)(N); 3、log(a)(M÷N)=log(a)(M)-log(a)(N); 4、log(a)(M^n)=nlog(a.

以常用对数为例,公式有:lg(ab)=lga+lgb lg(a/b)=lga-lgb lg(a^n)=nlga10^(lga)=a

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)]

log(a)(a)=b log(a)(mn)=log(a)(m)+log(a)(n); log(a)(m÷n)=log(a)(m)-log(a)(n); log(a)(m^n)=nlog(a)(m) log(a^n)m=log(a)(m)/n log(a)(n)=log(b)(n)÷log(b)(a) log(a)(b)=1/log(b)(a)

如果a>0,且a≠1,M>0,N>0,那么:①loga(MN)=logaM+logaN;②loga(M/N)=logaM-. 定义: 若a^n=b(a>0且a≠1) 则n=log(a)(b)一般的,将底数为10的对数叫做常用对数,即lga.

^^基本性质: 1.a^(log(a)(b))=b 2.log(a)(MN)=log(a)(M)+log(a)(N); 3.log(a)(M/N)=log(a)(M)-log(a)(N); 4.log(a)(M^n)=nlog(a)(M) 换底公式 log(a)(N)=log(b)(N)/log(b)(a) log(a^n)(b^m)=m/n*[log(a)(b)] log(a)(b)=1/log(b)(a)

1、对数函数的运算公式如下图所示:2、根据对数公式举例计算如下:扩展资料:1、对数性质:在比较两个函数值时:如果底数一样,真数越大,函数值越大.(a>1时)如果底数一样,真数越小,函数值越大.(0<a<1时)2、常用对数:lg(b)=log10b(10为底数).自然对数:ln(b)=logeb(e为底数).其中e为无限不循环小数,通常情况下只取e=2.71828.参考资料:百度百科_对数函数百度百科_对数公式

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).

对数性质 ①loga(1)=0; ②loga(a)=1; ③负数与零无对数.运算法则 ①loga(MN)=logaM. 4、log(a)(M^n)=nlog(a)(M) 5、log(a^n)M=1/nlog(a)(M)换底公式 log(a)(B)=log(c)B/log(.