Value of x such that 4^(x+1) = 2 - 7(2^x) is:
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4^x(4) = 2 - 7(2^x)
Let 2^x = y
4 y^2 = 2 -7y
4 y^2+7y-2=0
4 y^2+8y-y-2=0
(4y-1)(y+2)=0
y = 1/4 or y = -2(rejected)
2^x = 2^(-2)
Therefore, x = -2
Let 2^x = y
4 y^2 = 2 -7y
4 y^2+7y-2=0
4 y^2+8y-y-2=0
(4y-1)(y+2)=0
y = 1/4 or y = -2(rejected)
2^x = 2^(-2)
Therefore, x = -2
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