已知a>0,a≠≡1,若loga 3=m,loga 2=n,求a^2m-n
问题描述:
已知a>0,a≠≡1,若loga 3=m,loga 2=n,求a^2m-n
答
a^m=3,a^n=2,a^(2m-n)=a^2m/a^n=3^2/2=9/2
答
a^m=3,a^n=2
则a^(2m-n)
=(a^2m)/(a^n)
=((a^m)^2)/(a^n)
=9/2