对数运算

对数运算

目录导航

基本内容及其性质

  在形如a^b=N的式子中,已知a和N,求b,我们把这种运算叫做对数运算。

  定义:如果a^b=N(a>0,a≠1,N>0),则b叫做以a为底N的对数,记为b=logaN。

 

      负数和零没有对数。

 

    对数运算性质:

 

      如果a>0,且a≠1,M>0,N>0,那么:

 

  (1)log a(M.N)=log aM+log aN;

 

  (2)log a N分之M=log aM-log aN;

 

(3)log a M的n次方=nlog aM(n∈R)

             

                                                                                                                

                                                                                                                                   

对数运算对数运算                                                                                                                                                                                                           

                                                                       

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