9^x+2^(2x+1)+1

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9^x+2^(2x+1)+1
9^x+2^(2x+1)+1

9^x+2^(2x+1)+1
9^x+2^(2x+1)+1<6^x+4^(x+1)+1
9^x+2*2^2x<6^x+4*4^x
9^x+2*4^x<6^x+4*4^x
9^x<6^x+2*4^x
两边除以9^x
(6/9)^x+2*(4/9)^x>1
令(2/3)^x=a
则(6/9)^x=a
(4/9)^x=[(2/3)^x]²=a²
2a²+a-1>0
(a+1)(2a-1)>0
a<0,a>1/2
(2/3)^x=a>0
所以(2/3)^x=a>1/2
(2/3)^x是减函数
所以x

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