若X1满足2X+2的x次方=5,x2满足2X+2log2(X-1)=5.则X1+X2等于?
若X1满足2X+2的x次方=5,x2满足2X+2log2(X-1)=5.则X1+X2等于?
日期:2013-09-20 15:22:10 人气:1
解:2X+2^x=5
x+2^(x-1)=2.5
2X+2log2(x-1)(2是底数)=5
x+log2(x-1)=2.5
其中y=2^(x-1)与y=log2(x-1)关于y=x-1对称
y=2.5-x与前面指数
对数曲线交点即为x1,x2.
x1+x2为y=2.5-x,y=x-1交点横坐标2倍即3.5