Question 100
Let $a, c \in \mathbb{N}$ and $b \in \mathbb{Z}$. Prove that there exists $x \in \mathbb{N}$ such that
$$
a^{x}+x \equiv b \quad \bmod c
$$
$$
a^{x}+x \equiv b \quad \bmod c
$$
MathNet 2017-part-06 — 176 problems (EN–VI) Question 100
Math Olympiad Vault · MathNet 2017-part-06 — 176 problems (EN–VI)