Question

equation is f(t)=30(3)t
predit when all Americans(both past and present)) will have heard the rumor. assume the u.s population is 305 million

Answer 1

im assuming you meant 30(3^t)??

Answer 2

in that case, set the function equal to 305 million
divide both sides by 30
then, if you take ln of both sides, remember you can move the t from the exponent in front of the natural log. do this step
divide both sides by ln(3)

Answer 3

30(3^t)=305mil
3^t=305mil/30
ln(3^t)=ln(305mil/30)
t*ln(3)=ln(305mil/30)
t=ln(305mil/30)/ln(3)

Answer 4

answer = 14.68

Answer 5

i dont get that answer

Answer 6

make sure you use parenthesis the right way
305 million = 305,000,000
t=ln(305000000/30)/ln(3)