lg2=a lg3=b 则lg 2 15!

问题描述:

lg2=a lg3=b 则lg 2 15!

lg10=1g2+lg5 lg5=1-lg2=1-b
log2(15)=log2(3*5)=log2(3)+log2(5)=lg3/lg2+lg5/lg2=1/a+(1-b)/b=1/a+1/b-1

求什么?

lg2=a lg3=b
则log 2 15
=log2 30/2
=log2 30-1
=lg30/lg2-1
=(1+lg3)/lg2-1
=(1+b)/a-1
=(a+b+1)/a