2的a次方等于3的b次方等于m求1/a+1/b

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/05 12:41:48
2的a次方等于3的b次方等于m求1/a+1/b

2的a次方等于3的b次方等于m求1/a+1/b
2的a次方等于3的b次方等于m求1/a+1/b

2的a次方等于3的b次方等于m求1/a+1/b
2^a=3^b=m
a=log2(m) (2为底数,m为真数)
b=log3(m)
1/a+1/b
=1/log2(m)+1/log3(m)
=logm(2)+logm(3)
=logm(6)

1/a+1/b
=1/log2(m)+1/log3(m)
=logm(2)+logm(3)
=logm(6)