2的a次方等于3的b次方等于m求1/a+1/b

题目

2的a次方等于3的b次方等于m求1/a+1/b

答案

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)