解:李带蠢令n=4得:a5*a3=2^8令n=5得:a5*a5=2^10,即a5=2^5则(a5*a5)÷(a5*a3)=a5*a3=2²=4,行银即公比q²=4则a1=a^5÷(q²)²=2∵an>0∴q>0,即q=2则an=a1*2^(n-1)=2^n则log(2)a1+log(2)a2+log(2)a3+...+log(2)a(2n-1)=1+2+3+...+2n-1=(2n-1)(1+2n-1)/哪陪2=2n²-n