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為什麽lg9等於2lg3?

lg9=lg3_=2lg3 .

這是對數的運算性質,log(a)(m ^ n)= nlog(a)(m)。

對數的運算性質如下:

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);

7.換底公式:log(a)(n)= log(b)(n)÷log(b)(a);

8、log(a)(b)=1/log(b)(a).