2^(4x+1)=2*2^4x=2*4^2x=2*(4^x)^2
令a=4^x
則2a^2-17a+8=0
(2a-1)(a-8)=0
a=1/2,a=8
4^x=1/2,4^x=8
4^x=1/2
2^2x=2^-1
2x=-1
x=-1/2
4^x=8
2^2x=2^3
2x=3,x=3/2
所以x=-1/2,x=3/2
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