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Number Theory Level 2

If 2 n + 3 = 1 1 k 2^{n}+3=11^{k} Then find the sum of all possible integer values of n and k


The answer is 4.

Rayyan Shahid by Rayyan Shahid , 20, India

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2 solutions

(2^3+3)=11^1

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how to prove that this is the only triplet satisfying the condition?

Adarsh Kumar - 6 years, 7 months ago

How will you prove that there is only one solution?

Rayyan Shahid - 6 years, 7 months ago

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even i want to know how this is true...

Vighnesh Raut - 6 years, 6 months ago
Rama Devi
May 26, 2015

We observe that no other solutions other than 3 and 1 don't satisfy it.

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