Question 85
Determine all positive integers $k$ for which there exist positive integers $r$ and $s$ that satisfy the equation
$$
\left(k^{2}-6 k+11\right)^{r-1}=(2 k-7)^{s}.
$$
$$
\left(k^{2}-6 k+11\right)^{r-1}=(2 k-7)^{s}.
$$
MathNet 2020 — Math Olympiad Vault — Part 05 Question 85
Math Olympiad Vault · MathNet 2020 — Math Olympiad Vault — Part 05