a^m*a^n=4,a^m/a^n=6,求mn的值

问题描述:

a^m*a^n=4,a^m/a^n=6,求mn的值

由a^m*a^n=4,a^m/a^n=6得
a^m=2√6,a^n=√6/3
m=3/2*log(a)2+1/2*log(a)3,n=1/2*log(a)2-1/2*log(a)3