## BdMO National Secondary 2020 P1

Mursalin
Posts:68
Joined:Thu Aug 22, 2013 9:11 pm
BdMO National Secondary 2020 P1
$$m$$ 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.
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Mehrab4226
Posts:230
Joined:Sat Jan 11, 2020 1:38 pm

### 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

anando
Posts:3
Joined:Mon Sep 07, 2020 3:37 pm

### Re: BdMO National Secondary 2020 P1

I think it's zero.

Mehrab4226
Posts:230
Joined:Sat Jan 11, 2020 1:38 pm