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Home » Dirty Dr Pepper: Why This Soda is Secretly Addictive (Don’t Miss!) - Carbonext

Dirty Dr Pepper: Why This Soda is Secretly Addictive (Don’t Miss!) - Carbonext

📅 February 26, 2026 👤 scraface

Feb 26, 2026

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\times 2^{t/3} \geq 3^k
But since we are to express the population as a power of 3, note that...
\text{Population} = 2^2 \cdot 3^4 \cdot 2^{t/3} = 2^{2 + t/3} \cdot 3^...
For the population to be at least \( 3^k \), we need:
3^4 \cdot 2^{2 + t/3} \geq 3^k \implies 2^{2 + t/3} \geq 3^{k - 4}
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