8 2 2x 4 2 x 1 1 2 x

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Solve: 8 × 2^2x + 4 × 2^x+1 = 1 + 2^x

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2^3 × 2^2x × 2^4 × 2^x = 2^x

on comparing the powers

3+2x+4+x = x

7+3x = x

7 = 3x-x

7=2x

x=7/2


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