\(2(2^x- 1) x^2 + (2^{x^2}-2)x = 2^{x+1} -2\)
Hi! I'm struggling with this problem a bit. I had a hint to prove that \(2^x- 1\) and \(x\) had the same sign, but I'm not sure how to do that. Would I have to use casework to do this?
I know that \(2^x-1\) is an increasing function. That could possibly help. I'm not really sure to prove this hint and I've been told that it's the crucial step to the problem. Please help! I don't want the answer, I just want help solving the problem.
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