24/02/14 05:08:37.67 NuaCt8890.net
>>154続き
650:132人目の素数さん:2024/02/14(水) 03:20:51.44 ID:e0NB9mZ7
123456789^1234567890 を考える。(同じ結果になるから)
123456789 = (10^10 - 91) /81,
log10(10^10 - 91)
= 10 + log10(1 - 0.91E-8)
= 10 - (0.91E-8) /ln(10) + O(1E-16)
= 10 - 3.9520798033E-9
= 9.99999999604792019670……
log10(81) = 4 * log10(3) = 1.90848501887864974918……
∴ log10(123456789)
= log(10^10 - 91) - log10(81)
= 8.09151497716927044752……
log10(123456789^1234567890)
= 1234567890 * log10(12456789)
= 9989524572.267264389232065……
10^0.267264389232 = 1.8503947570818815……
調べたら本当に尿瓶が間違っている模様w