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Algebra Level 4

Given a geometric progression: a+log⁡23 a+\log_{2}{3} , a+log⁡43 a+\log_{4}{3} , a+log⁡83 a+\log_{8}{3} , find the value of the common ratio.

Give your value to three significant figures.

This problem is from the 2000 Chinese National Mathematics Competition.
Jessica Wang by Jessica Wang
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