Question 89
Let $a, b \in \mathbb{R}$, $a \gt 1$, $b \gt 0$. Determine the minimum value of the real number $\alpha$ such that:
$$
(a + b)^x \geq a^x + b, \quad \forall x \geq \alpha.
$$
$$
(a + b)^x \geq a^x + b, \quad \forall x \geq \alpha.
$$
MathNet 2024-part-04 — 168 problems (EN–VI) Question 89
Math Olympiad Vault · MathNet 2024-part-04 — 168 problems (EN–VI)