不等式中x的取值范围为-2log3(x+2),即-log3(1-x)>log3(x+2),即log3(1-x)^(-1)>log3(x+2),即log3[1/(1-x)]>log3(x+2),因为底数3>1,所以有1/(1-x)>x+2,即x^2+x-1>0,解得x>(√5-1)/2或x