已知lg2=a,lg3=b,求下列各式的值 (1)lg6 (2)log3|4 (3)log2|12 (4)lg3/2
来源:学生作业帮助网 编辑:作业帮 时间:2024/06/21 05:48:55
![已知lg2=a,lg3=b,求下列各式的值 (1)lg6 (2)log3|4 (3)log2|12 (4)lg3/2](/uploads/image/z/4081171-67-1.jpg?t=%E5%B7%B2%E7%9F%A5lg2%3Da%2Clg3%3Db%2C%E6%B1%82%E4%B8%8B%E5%88%97%E5%90%84%E5%BC%8F%E7%9A%84%E5%80%BC+%EF%BC%881%EF%BC%89lg6+%EF%BC%882%29log3%7C4+%283%29log2%7C12+%284%29lg3%2F2)
已知lg2=a,lg3=b,求下列各式的值 (1)lg6 (2)log3|4 (3)log2|12 (4)lg3/2
已知lg2=a,lg3=b,求下列各式的值 (1)lg6 (2)log3|4 (3)log2|12 (4)lg3/2
已知lg2=a,lg3=b,求下列各式的值 (1)lg6 (2)log3|4 (3)log2|12 (4)lg3/2
(1)lg6=lg2+lg3=a+b (lgab=lga+lgb)
(2)log3|4=lg4/lg3=2lg2/lg3=2a/b (loga|b=lgb/lga lga^n=nlga)
(3)log2|12=lg12/lg2=(lg4+lg3)/lg2=(2a+b)/a=2+b/a
(4)lg3/2=lg3-lg2=b-a (lgb/a=lgb-lga)