Aliens have injected Ana with mathematical nanobots. These nanobots force Ana to think about math more and more. Initially, ther
e were only five nanobots. The population of the nanobots doubles every hour. The population of the nanobots follows the equations p(t) = 5·2^t. After there are 106nanobots, Ana will cease thinking of anything other than math. How many hours will it take for math to take over Ana's brain?