1、a^log(a)(b)=b

2、log(a)(a)= 1

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)[m^( 1/n)]=log(a)(m)/n

Note: Compared with logarithm, exponent and exponent operation are much simpler. However, there are still some high school students with poor foundation who are not skilled in exponential operation, which affects their later knowledge learning. Such as logarithm, exponential function, sequence, binomial theorem, etc. , all need exponential and exponential operations.

Exponential operation is a mathematical algorithm. The calculation of combining two or more numbers and quantities into one number and quantity is called addition. (for example, a+b=c). When two numbers are added, the positions of the addend are exchanged and the sum is unchanged. A+B = B+A. When adding three numbers, add the first two numbers first, or add the last two numbers first, and the sum is unchanged. (a+b)+c=a+(b+c).