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Katya is a ranger at a nature reserve in Siberia, Russia, where she studies the changes in the reserve's bear population over time. The relationship between the elapsed time $t$, in years, since the beginning of the study and the bear population $P$, on the reserve is modeled by the following function. In how many years will the reserve's bear population be $P$? Round your answer, if necessary, to the nearest hundredth. $t$ years