The population P (in thousands) of Reno, Nevada from 2000 through 2007 can be modeled

The population P (in thousands) of Reno, Nevada from 2000 through 2007 can be modeled by P=346.8ekt
where t represents the year, with = 0 corresponding to 2000. In 2005, the
population of Reno was about 395,000. According to the model, during what year will the
population reach 486,000.00?