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MathNet 2016-part-03 — 184 problems (EN–VI) Question 58

Math Olympiad Vault · MathNet 2016-part-03 — 184 problems (EN–VI)

Question 58

How many real numbers $x$ satisfy the equation
$$
\left(\left|x^{2}-12 x+20\right|^{\log x^{2}}\right)^{-1+\log x}=\left|x^{2}-12 x+20\right|^{1+\log (1 / x)} ?
$$