复数z=x^2-2x-3+{[(log(1/2)(x)]^2-log(1/2)(x)-2}i是虚部为正数的非纯虚数,求实数x的范围(log(1/2)(x)是log以(1/2)为底的x

问题描述:

复数z=x^2-2x-3+{[(log(1/2)(x)]^2-log(1/2)(x)-2}i是虚部为正数的非纯虚数,求实数x的范围
(log(1/2)(x)是log以(1/2)为底的x

由x^2-2x-3!=0得:x!=1和3.
由log(1/2)(x)^2…>0得:
log(1/2)(x)2
得:x>2或0