已知x=log(2a)a,y=log(3a)2a,求证2^1-xy=3^y-xy.(ps:()里为底数)
问题描述:
已知x=log(2a)a,y=log(3a)2a,求证2^1-xy=3^y-xy.(ps:()里为底数)
答
已知x=log(2a)a,y=log(3a)2a,求证2^1-xy=3^y-xy.(ps:()里为底数)解析:∵x=log(2a,a),y=log(3a,2a)Xy=lna/ln(2a)*ln(2a)/ln(3a)=lma/ln(3a)1-xy=ln3/ln(3a),y-xy=ln2/ln(3a)2^1-xy=2^[ ln3/ln(3a)]3^y-xy=3^[ ...