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Home » \( R(20) = 400a + 20b + c = 50 \). - inBeat

\( R(20) = 400a + 20b + c = 50 \). - inBeat

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 Number of infected after \( t \) days: \( 50 \times 2^{t/3} \)

📌 Set \( 50 \times 2^{t/3} \geq 800,000 \)

📌 Divide both sides by 50: \( 2^{t/3} \geq 16,000 \)

📌 Take log base 2: \( \frac{t}{3} \geq \log_2(16,000) \)

📌 \( \log_2(16,000) = \log_2(16 \times 1000) = \log_2(16) + \log_2(1000) = 4 + \log_2(10^3) \)

📌 \( \log_2(10^3) = 3 \log_2(10) \approx 3 \times 3.3219 = 9.9657 \)

📌 So \( \log_2(16,000) \approx 4 + 9.9657 = 13.9657 \)

📌 \( \frac{t}{3} \geq 13.9657 \Rightarrow t \geq 41.897 \)

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