Answer:
Step-by-step explanation:
Given
A quantity is increasing according to
[tex]y(t)=y_0e^{kt}[/tex]
time taken to triple the initial Quantity
i.e. [tex]y(t)=3 y_0[/tex]
[tex]3y_0=y_0e^{kt}[/tex]
[tex]3=e^{kt}[/tex]
Taking log on both side
[tex]\ln 3=kt[/tex]
[tex]t=\frac{\ln 3}{k}[/tex]
(b)Time required to increase P-fold
i.e. [tex]y(t)=Py_0[/tex]
[tex]Py_0=y_0e^{kt}[/tex]
[tex]P=e^{kt}[/tex]
taking log both sides
[tex]t=\frac{\ln P}{k}[/tex]
