求x的值:(1)log2底(x²-2﹚=0;﹙2﹚log﹙2x²﹚底﹙3x²+2x-1﹚=1

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求x的值:(1)log2底(x²-2﹚=0;﹙2﹚log﹙2x²﹚底﹙3x²+2x-1﹚=1

求x的值:(1)log2底(x²-2﹚=0;﹙2﹚log﹙2x²﹚底﹙3x²+2x-1﹚=1
求x的值:(1)log2底(x²-2﹚=0;﹙2﹚log﹙2x²﹚底﹙3x²+2x-1﹚=1

求x的值:(1)log2底(x²-2﹚=0;﹙2﹚log﹙2x²﹚底﹙3x²+2x-1﹚=1
(1)x^2-2=1 => x^2=3 =>x=根号3或-根号3
(2)3x²+2x-1=2x^2 =>x^2+2x-1=0 =>(x+1)^2=2 =>x=-1+根号2或-1-根号2

1)x²-2=1
得 x=±根号3
2)2x²=3x²+2x-1
2x²>0 且 2x²≠1
3x²+2x-1>0
解得 x=根号2 ±1