\(m\) এমন একটি বাস্তব সংখ্যা যা \(3^m=4m\) সমীকরণ সিদ্ধ করে। \(\frac{3^{3^m}}{m^4}\) -এর সম্ভাব্য সকল মানের যোগফল বের করো।
Let \(m\) be a real number such that the following equation holds: \(3^m=4m\). Compute the sum of all possible distinct values that \(\frac{3^{3^m}}{m^4}\) can take.
BdMO National Secondary 2020 P1
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- Mehrab4226
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Re: BdMO National Secondary 2020 P1
Mursalin wrote: ↑Wed Feb 03, 2021 10:17 pm\(m\) এমন একটি বাস্তব সংখ্যা যা \(3^m=4m\) সমীকরণ সিদ্ধ করে। \(\frac{3^{3^m}}{m^4}\) -এর সম্ভাব্য সকল মানের যোগফল বের করো।
Let \(m\) be a real number such that the following equation holds: \(3^m=4m\). Compute the sum of all possible distinct values that \(\frac{3^{3^m}}{m^4}\) can take.
The Mathematician does not study math because it is useful; he studies it because he delights in it, and he delights in it because it is beautiful.
-Henri Poincaré
-Henri Poincaré
Re: BdMO National Secondary 2020 P1
I think it's zero.
- Mehrab4226
- Posts:230
- Joined:Sat Jan 11, 2020 1:38 pm
- Location:Dhaka, Bangladesh
Re: BdMO National Secondary 2020 P1
The Mathematician does not study math because it is useful; he studies it because he delights in it, and he delights in it because it is beautiful.
-Henri Poincaré
-Henri Poincaré