Question 106
Find the sum of the smallest and largest possible values for $x$ which satisfy the following equation.
$$9^{x + 1} + 2187 = 3^{6x - x^{2}}$$
$$9^{x + 1} + 2187 = 3^{6x - x^{2}}$$
Math Olympiad Vault · MathNet 2023-part-04 — 191 problems (EN–VI)