Question

there are initially 1000 bacteria in a culture. the number of bacteria doubles each hour. the number of bacteria N present after t hours is N=1000(2)^t. how long will it take the culture to increase to 50,000 bacteria?

Answer 1

guess you need to solve
\[50000=1000\times 2^t\] for t

Answer 2

start with
\[50=2^t\] then
\[t=\frac{\ln(50)}{\ln(2)}\] then a calculator