对数的基本公式是什么啊? 对数的两个重要公式是什么啊

\u5bf9\u6570\u51fd\u6570\u7684\u4e00\u4e9b\u516c\u5f0f\u662f\u4ec0\u4e48

\u5bf9\u6570\u57fa\u672c\u6052\u7b49\u5f0f\uff1aa^log_a_N=N
\u79ef\u7684\u5bf9\u6570\u7b49\u4e8e\u5bf9\u6570\u7684\u548clog(MN)=logM+logN \u7701\u7565\u5e95\u6570a
\u5546\u7684\u5bf9\u6570\u7b49\u4e8e\u5bf9\u6570\u7684\u5deelog(M/N)=logM-logN
\u5e42\u7684\u5bf9\u6570\u7b49\u4e8e\u5bf9\u6570\u7684\u5bf9\u6570\u4e58\u6307\u6570log(N^m)=mlogN
\u6839\u5f0f\u7684\u5bf9\u6570\u7b49\u4e8e\u88ab\u5f00\u65b9\u6570\u7684\u5bf9\u6570\u9664\u4ee5\u6839\u6307\u6570log[N^(1/n)]=(1/n)logN\u5bf9\u6570\u7684\u6362\u5e95\u516c\u5f0f\uff1alog_b_N=log_a_N/log_a_b

\u6362\u5e95\u516c\u5f0f\uff1a log a b = (log c b)/(log c a)
\u6b21\u65b9\u516c\u5f0f\uff1a log a (b^n)= n*(log a b) (\u540d\u5b57\u662f\u6211\u81ea\u5df1\u8d77\u7684\uff0c\u4e0d\u8bb0\u5f97\u8fd9\u4e2a\u516c\u5f0f\u7684\u540d\u5b57\u4e86)
\u5bf9\u6570\u7684\u52a0\u51cf\u6cd5\uff1a (log a b) + (log a c)=log a (bc)
(log a b) - (log a c)=log a (b/c)
\u4e00\u822c\u5bf9\u6570\u5c31\u8fd9\u56db\u4e2a\u516c\u5f0f\u4e86\u3002
\u6ce8\uff1a log a b \u8868\u793alog\u4ee5a\u4e3a\u5e95b\u7684\u5bf9\u6570

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
(注:上文^均为上标符号,例:a^n即为a的n次方)  7.logab*logba=1

如果a的n次方等于b(a大于0,且a不等于1),那么数n叫做以a为底b的对数,记做n=loga的b次方,也可以说log(a)b=n。其中,a叫做“底数”,b叫做“真数”,n叫做“以a为底b的对数”。

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