Number theory · Exponential diophantine · Congruences · 2 adic valuation · Factorization
Problem 3, 2017
Solve the equation
\[ 12^{x} + 10^{y} = 7102^{z} \]
in the set of natural numbers.
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Serbian Municipal Competition 2017, high school grade I, category A, problem 3. Organized by the Mathematical Society of Serbia (DMS). Source