Please help! !

Question

A fisherman illegally drops some fish into a pond, and they quickly propagate (reproduce). The population growth of the new specifies is modeled by P(x) = 6(b)^x, where x is the time in weeks following the moment he dropped the fish into the pond and b is a positive unknown base. Suppose that b is 3. Graph this relationship. How long does it take for there to be at least 100 fish in the pond?

Answer 1

100 ≤ 6(3)^x

16.667 ≤ 3^x

ln 16.667 ≤ x ln3

2.8134 ≤ 1.0986 x

2.56 ≤ x