Scientists are conducting trials on a new disinfectant for use in hospitals and doctor’s offices. After conducting several trials, they found that it decreases the presence of bacteria by 35% each second that it is applied to a surface. The next trial will apply it on a desk surface with approximately 20,000 cells of bacteria on it.

Which logarithmic function models the time, , in seconds, it will take the number of cells to decrease to a value of n?

A.

B.

C.

D.