Number theory · Exponential diophantine · Congruences · 2 adic valuation · Factorization
Solve the equation
\[ 12^{x} + 10^{y} = 7102^{z} \]
in the set of natural numbers.
Sign in to check answers, open hints, read the full solution, and track your progress. Statements are always free.
Serbian Municipal Competition 2017, high school grade I, category A, problem 3. Organized by the Mathematical Society of Serbia (DMS). Source