alternative solution..pic.twitter.com/OxL9TxV7Oy
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100*log(125)
How did the binomial formula help with the "<10" estimation? I'm not seeing the solution unless you expand a 30-degree polynomial.
(1+1/n)^n < e; 1/0.024 ~ 41 => (1+1/41)^41 < e; (1+1/41)^30 < e^(30/41); therefore 1.024^30 < 10.
490,909,346,529,772,655,309,577,195,498,627,564,297,521,551,249,944,956,511,154,911,718,710,525,472,171,585,646,009,788,403,733,195,227,718,357,156,513,187,851,316,791,861,042,471,890,280,751,482,410,896,345,225,310,546,445,986,192,853,894,181,098,439,730,703,830,718,994,140,625.
can u elaborate how u put eq in binomial formula with step by step...quite slippery in it
Knowing that squaring natural numbers doubles digit count [or (doubles digit count)-1] and using brute force plus guesstimation gives a really wide range from 203 to 250 digits for 125¹⁰⁰pic.twitter.com/5yUWDwRY55
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