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Algebra 2MediumCircles & Lines

Circles & Lines · Medium problem

Positive real numbers xx and yy satisfy log⁡2x+log⁡2y=6\log_2 x + \log_2 y = 6 and log⁡2x−log⁡2y=2\log_2 x - \log_2 y = 2. What is x+yx+y?