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MathNet 2018-part-04 — 181 problems (EN–VI) Question 23

Math Olympiad Vault · MathNet 2018-part-04 — 181 problems (EN–VI)

Question 23

Given that $a$ and $b$ are real numbers satisfying the equation
$$
\log_{16} 3 + 2 \log_{16}(a-b) = \frac{1}{2} + \log_{16} a + \log_{16} b
$$
find all possible values of $\frac{a}{b}$.