关于整数部分的一个方程

An Equation Contained Integral Parts

对于实数α,设[α]是α的整数部分,本文运用初等方法证明了;方程[logx(x-1)+logx-1(x+1)+logx+1(2x)]=x仅有正数解x=4.

For any real number a,let [a] denote the integral part of a.ln this paper,using some elementary methods,we prove that equation[log√x（x-1）＋log√x-1（x＋1）＋log√x＋1（2x）]=x has only the positive number solution x=4.