方程log2(x-1)=2-log2(x+1)的解为_.

问题描述:

方程log2(x-1)=2-log2(x+1)的解为______.

∵log2(x-1)=2-log2(x+1)∴log2(x-1)=log2

4
x+1

即x-1=
4
x+1
解得x=±
5
(负值舍去)
故答案为:
5