若log3 4×log4 5×log5 m=2,则m=

问题描述:

若log3 4×log4 5×log5 m=2,则m=

由换底公式得
(log4)*(log5)/(log4)*(logm)/(log5)=2,
∴logm=2,
∴m=3^2=9.