已知lg2=0.301,lg3=0.477,求(1)log(2)1000,(2)log(5)0.5,(3)log(9)8,(4)log(1/2)1/3

来源:学生作业帮助网 编辑:作业帮 时间:2024/04/29 12:55:38
已知lg2=0.301,lg3=0.477,求(1)log(2)1000,(2)log(5)0.5,(3)log(9)8,(4)log(1/2)1/3

已知lg2=0.301,lg3=0.477,求(1)log(2)1000,(2)log(5)0.5,(3)log(9)8,(4)log(1/2)1/3
已知lg2=0.301,lg3=0.477,求(1)log(2)1000,(2)log(5)0.5,(3)log(9)8,(4)log(1/2)1/3

已知lg2=0.301,lg3=0.477,求(1)log(2)1000,(2)log(5)0.5,(3)log(9)8,(4)log(1/2)1/3
1、log(2)1000=lg1000/lg2=3/0.301=9.966777
2、log(5)0.5=(lg2-1)/(1-lg2)=-1
3、log(9)8=lg8/lg9=3lg2/2lg3=0.946540
4、log(1/2)1/3=(1-lg3)/(1-lg2)=0.523/0.699=0.748212