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MathNet 2005 — Part 02 Question 33

Math Olympiad Vault · MathNet 2005 — Part 02

Question 33

Solve the inequality
$$
\log_{a}\left(x^{2}-x-2\right)\gt \log_{a}\left(3+2x-x^{2}\right)
$$
if it is known that $x=a+1$ is a solution.