Question 251391
Hint: Plug in {{{N(t)=2000}}} to get {{{2000=10*3^t}}}. From here, divide both sides by 10 to get {{{200=3^t}}}. Next use logarithms to isolate 't' (you'll get an approximate answer).



Note: your answer should be {{{t=log(3,(200))=4.8227}}} (the last part is approximate). So this means that it will take about 5 days for 2000 to hear the rumor.