令3^(log2 (5))=m,5^(log2(3))=n,其中m>0,n>0则log3 (m)=log2 (5),log5 (n)=log2 (3)即lg m/lg 3=lg 5/lg 2,lg n/lg 5=lg 3/lg 2 (注：换底公式)有lg m=(lg 5)*(lg 3)/lg 2,lg n=(lg 5)*(lg 3)/lg 2所以lg m=lg n...