1000000 viruses are reproducing exponentially with a rate of 160% in four hours. At the same time, the body is eliminating the viruses constantly at 50000 per hour. What would be the function giving the virus population at a given time?

k must be ln(1,6)/4, because

e^k*4 must be 1,6.

the differential equation for exponential growth is

dP/dt = Po * e ^(kt) * k

WHAT AM I GOING TO DO ABOUT THE ELIMINATION RATE PLEASE HELP!!!