4.18-5/方程|log(1/2)[x/4]|+1=|log(1/2)[x^2]|的解集是()?

问题描述:

4.18-5/方程|log(1/2)[x/4]|+1=|log(1/2)[x^2]|的解集是()?

|log(1/2)[x/4]|+1=|log(1/2)[x^2]|
|log(1/2)[x] + 2|+1 = 2 *|log(1/2)[x]|
设 log(1/2)[x] = t
| t + 2 | + 1 = 2 * |t|
这个方程分情况讨论,很容易得到:
t = 3 ,or,t = -1
log(1/2)[x] = 3,-1
x = 1/8 or 2