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Home / $ \log(1.484375) \approx 0.17116 $

$ \log(1.484375) \approx 0.17116 $

February 22, 2026

$\log(1.484375) \approx 0.17116$

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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 $
So $ n - 1 > 0.17116 / 0.051161 \approx 3.348 $
Thus $ n > 4.348 $ → smallest integer $ n = 5 $
Week 1: $ 64 \times 1.125 = 72 $

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