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Find all real solutions for \(x\) in

 

\(2(2^x- 1) x^2 + (2^{x^2}-2)x = 2^{x+1} -2\)

 

HINT: First prove that \(2^x - 1\) and \(x\) have the same sign.

 Oct 22, 2020
 #1
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The solutions are x = 1, 2, and 4.

 Jan 1, 2021

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