Given $y>0$ I want to find least $\alpha\geq1$ and regions of $m$ and $x$ that satisfies $$y^{x}\leq m^\alpha$$ $$m\leq\frac{(1-3x)\log y}{4\log(1-3x)-4\log 2+4\log\log y}$$
$$1+\frac1{x}\leq m$$
How can this be done?
2026-03-29 03:22:27.1774754547
Is there a function of $y$ that satisfies these constraints?
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