The number of honey bees in a hive is growing according to the equation
where t is the time in days. If the bees swarm when their number isquadrupled, find how many days until this hive swarms. (Round your answer to the nearest day
+33653 Set N = 4N0.
4 = e0.017t
Take logs of both sides (use natural logs)
ln(4) = 0.017*t
Divide both sides by 0.017
t = ln(4)/0.017
$${\mathtt{t}} = {\frac{{ln}{\left({\mathtt{4}}\right)}}{{\mathtt{0.017}}}} \Rightarrow {\mathtt{t}} = {\mathtt{81.546\: \!727\: \!124\: \!699\: \!448\: \!2}}$$
t = 82 days to the nearest day
+33653 Set N = 4N0.
4 = e0.017t
Take logs of both sides (use natural logs)
ln(4) = 0.017*t
Divide both sides by 0.017
t = ln(4)/0.017
$${\mathtt{t}} = {\frac{{ln}{\left({\mathtt{4}}\right)}}{{\mathtt{0.017}}}} \Rightarrow {\mathtt{t}} = {\mathtt{81.546\: \!727\: \!124\: \!699\: \!448\: \!2}}$$
t = 82 days to the nearest day
