Geologists can estimate the age of rocks by their uranium-238 (U-238) content. The uranium is incorporated in the rocks as it hardens and then decays with first-order kinetics and a half-life of 4.5 billion years. 33.6% of U-238 in the rock was decayed. How old (billion years, 1 billion years+ 10^9 years) is the rock?

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