Question

True or false: Q(t) =A quantity Q growing exponentially according to the formula Qo5^t has a doubling time of ln2/ln5. Explain

Answer 1

\[2=5^t\] solve for \(t\) to get the doubling time

Answer 2

change of base tells you
\[2=5^t\iff t=\frac{\ln(2)}{\ln(5)}\] so i guess it is true

Answer 3

What does Qo stand for in the equation?

Answer 4

the initial population, i.e. the population when you start counting, at \(t=0\)
that is why the subscript it 0 and you write \(Q_0\) instead of \(Q(0)\)