作业帮求证 log(a) (M·N)=log(a) M+log(a) N
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求证 log(a) (M·N)=log(a) M+log(a) N
求证 log(a) (M·N)=log(a) M+log(a) N
求证 log(a) (M·N)=log(a) M+log(a) N
证明：设log(a)(mn)=k 则有：a^k=mn
log(a)m=x 则有：a^x=m
log(a)n=y 则有：a^y=n
可得：mn=a^x*a^y=a^(x+y)=a^k
即：k=x+y
得：log(a)(mn)=log(a)m+log(a)n
设a的A次方为M,a的B次方为N,则MN=a的A+B次方，都取对数，log（a）（MN）=A+B=log(a)M+log(a)N 望采纳谢谢
log(a) (M·N)=log(a) M+log(a) N
a^x=M, ,,,,,,(1) a^y=N, ..........(2)
把(1)(2)化成对数式 x= log(a) ,y=Mlog(a) N
(1)*(2)得,a^x ·a^y=M·N
化成对数式得
a^(x+y)=M·N
log(a) (M·N)=x+y=log(a) M+log(a) N
设 M=a^p, N=a^q
log(a) (M·N)=log(a) a^(p+q)=p+q
log(a) M+log(a) N=p+q
∴ log(a) (M·N)=log(a) M+log(a) N
求证 log(a) (M·N)=log(a) M+log(a) N
log(a)M+log(a)N=?
证明a(log(m)n)=n(log(m)a)
log a (m^n)=(log a m)^n?
log(下标a)(M*N)是什么意思?= log(下标a)M+log(下标a)N
log(a)(mn)=log(a)(m)+log(a)(n)为什么呀?
log(a^n)M= 1/n log(a)(M) log(a^n)M= n log(a)(M) 哪个对啊求神回复
证明对数运算法则（1）log(a)(MN)=log(a)(M)+log(a)(N); （2）log(a)(M/N)=log(a)(M)-log(a)(N);（1）log(a)(MN)=log(a)(M)+log(a)(N); （2）log(a)(M/N)=log(a)(M)-log(a)(N); （3）log(a)(M^n)=nlog(a)(M) （n∈R）
推导log(a)(M/N)
求证：log底数√a真数N=2log底数a真数N
求对数函数公式的推导log(a)(M^n)=nlog(a)(M) 和log(a)(N)=log(b)(N) / log(b)(a) 的推导
证明log(a^m)b^n=(n/m)log(a)b
为什么log(a^n)(M)=1/n×log(a)(M)
log a^m(b^n)=(n/m)*log a(b)
为什么-log（M/N)=log(N/M)
证明：log(a)M*log(b)N=log(a)N*log(b)M.对调真数的位置,对数的积不变.
换底公式推导过程1.log(a)(b)=1/log(b)(a) 2.log(a^n)(b^m)=m/n*[log(a)(b)] 3.log(a)(M^n)=nlog(a)(M)
数学问题··关于log1· log(a^k)(M^n)=(n/k)log(a)(M) 的推导过程·2· 2（log(1/2)(x)）^2-14log(4)(x)+3