Math Olympiad Exponential Equation, Can You Solve? | Math Challenging problem |Exponential Equation

#algebra #math #matholympiad
In this video, we will solve Math Olympiad question, 2^m - 2^n =2016, Find the values of m and n.

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[ManuelRodriguez-jogu]

Excelente explicación aunque no domino el inglés, si puedo seguir los procedimientos y argumentos.

[rakenzarnsworld]

All 2048 players: Too easy m = 11, n = 5

[dheerstar]

The solution looks pretty trivial as 2¹¹ is 2048 but still great solving 👍

[arturwrt]

Wouldn't be easier write that on the right side strait 2048-32 instead of 2016 and solve it by comparing!

[RobaB.-zhee]

When we have d/f base how to solve? If can't change base same?

[douglashudson]

The alegbra is nice... but if you happen to know (or calculcate) the powers of 2, this is easy:

2^11 = 2048. (M can't be 4096 minus anything, all results are too big, smallest possible result > 0 is 2048).
2048-2016=32=2^5. m=11, n=5.