The relative growth rate for a certain type of fungi is 70% per hour. a small culture has formed and in just 6 hours the count shows to be 54,273 fungi in the culture. what is the initial number of fungi in the culture?

Growing by 70% means the population is multiplied by 1.7. If the initial population is x, then x*(1.7)^6=54273 fungi. Dividing both sides by 1.7^6 gets us that x = 2248.486, or that there were roughly 2248 fungi initially.