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)
4、log(a^n)(M)=(1/n)log(a)(M)(n∈R)
5、log(A)M=log(b)M/log(b)A (b>0且b≠1)
6、a^(log(b)n)=n^(log(b)a)
lg40等于1.602。解答过程为:
lg40
=lg(4×10)
=lg4+lg10
=lg(2^2)+1
=1+2lg2
≈1.602
对数函数lg,是以10为底的对数(常用对数),如lg 10=1。