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对数运算法则

公式和法则:loga(MN)=logaM+logaN;loga(M/N)=logaM-logaN;对logaM中M的n次方有=nlogaM;如果a=e^m,则m为数a的自然对数,即lna=m,e=2.718281828…为自然对数的底.e是“指数”(exponential)的首字母,也是欧拉名字的首字母.

高一对数函数运算法则 1、a^(log(a)(b))=b (对数恒等式) 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) 证明: 1、因为n=log(a)(b),代入则a^n=b

[log(a)(x)表示a为底x的对数] log(a)(x)+log(a)(y)=log(a)(xy);log(a)(x)-log(a)(y)=log(a)(x/y) log(a^m)(x^n)=(n/m)log(a)(x) 换底公式log(a)(x)=log(b)(x)/log(b)(a)=lg(x)/lg(a)=ln(x)/ln(a)

加减乘除都有,只是乘除是像刚才的变换,同底加或减是真数相乘.对数运算若底数不同一般都可以用换底化同底运算

对数的运算法则及变式法则 答:若a^b=C,(a>0,a≠1),则b=log(a)C.把b=log(a)C代回去,便得a^log(a)C=C.(此式很有用) 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)M=log(b)M/log(b)a.(换底公式) log(a^

还要考虑a的大小(1)loga(MN)=logaM+logaN.(2)logaMN=logaM-logaN.(3)logaMn=nlogaM (n∈R).

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.

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