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When will a bacteria colony reach a certain size? When will one investment outperform another? Many real-world models use exponential functions, and you'll need these tools to compare them.

How many positive integers \(x<1000\) satisfy the inequality \( x^{3x+1} > x^{x+139} \)?

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Which of the following satisfies the inequality \[3^y \geq 4^x - 2 ?\]

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