lg(xx+2x-3)不等于零,则x的取值范围?

问题描述:

lg(xx+2x-3)不等于零,则x的取值范围?

先求定义域,真数>0,即x²+2x-3>0(x+3)(x-1)>0x1又lg(x²+2x-3)≠0∴x²+2x-3≠1即x²+2x-4≠0x≠-1±√5故x的取值范围为x1且x≠-1±√5写成并集形式为:x∈(-∞,-√5-1)∪(-√5-1,-3)∪(1,√5-1)∪(...