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MathNet 2017-part-06 — 176 problems (EN–VI) Question 51

Math Olympiad Vault · MathNet 2017-part-06 — 176 problems (EN–VI)

Question 51

Find all real numbers $x$ that solve the equation
$$
\log_{2}\left(\log_{2}(7x-6)\right)+1=\log_{2}\left(\log_{2}(3x-2)\right)+\log_{2} 3
$$