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Home » $ x \mid 0 $ ist **immer wahr**. - Londonproperty

$ x \mid 0 $ ist immer wahr. - Londonproperty

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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📌 An experimental chemist develops a catalyst that increases reaction efficiency by 5% of the remaining inefficiency each hour. If the initial inefficiency is 20%, after how many full hours will inefficiency drop below 5%?

📌 Initial inefficiency: 20%. Each hour, 5% of the current inefficiency is reduced. So inefficiency follows:

📌 after 1 hr: 20 × 0.95 = 19

📌 after 2 hr: 19 × 0.95 = 18.05

📌 This is geometric: E = 20 × (0.95)^t

📌 Solve: 20 × (0.95)^t < 5 → (0.95)^t < 0.25

📌 Take log: t × log(0.95) < log(0.25) → t > log(0.25)/log(0.95) ≈ (−1.3863)/(−0.05129) ≈ <<1.3863/0.05129≈27.03>>27.03

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