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Home » Java Escape Characters Exposed: Avoid Bugs & Break Strings Like a Pro! - SUpost

Java Escape Characters Exposed: Avoid Bugs & Break Strings Like a Pro! - SUpost

📅 July 5, 2026 👤 scraface

Jul 05, 2026

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📌 This is exponential growth: $ a_n = 64 \times (1.125)^{n-1} $

📌 We want $ 64 \times (1.125)^{n-1} > 95 $

📌 Divide both sides: $ (1.125)^{n-1} > 95 / 64 = 1.484375 $

📌 $ (n-1) \log(1.125) > \log(1.484375) $

📌 $ \log(1.125) \approx 0.051161 $

📌 $ \log(1.484375) \approx 0.17116 $

📌 So $ n - 1 > 0.17116 / 0.051161 \approx 3.348 $

📌 Thus $ n > 4.348 $ → smallest integer $ n = 5 $

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