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What is the solution set to 132≤(12)2x+1≤4?\frac{1}{32}\leq\left(\frac{1}{2}\right)^{2x+1} \leq 4?321≤(21)2x+1≤4?
What is the solution set to 0.5x+4≥16?0.5^{x+4}\geq16?0.5x+4≥16?
If 0<a<b,0<a<b,0<a<b, the solution set to a<axb1−x<ba<a^xb^{1-x}<ba<axb1−x<b is α<x<β.\alpha<x<\beta.α<x<β. Find −2α+3β.-2\alpha+3\beta.−2α+3β.
What is the smallest integer xxx that satisfies (12)x<16?\left(\frac{1}{2}\right)^x<16?(21)x<16?
If the solution to 127<(19)x<2187\frac{1}{27}<\left(\frac{1}{9}\right)^x<2187271<(91)x<2187 is α<x<β,\alpha<x<\beta,α<x<β, what is α+β?\alpha+\beta?α+β?
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