Higher Roots · Exercise 80

Spread of a virus The expression $3\cdot x^n$ models the spread of a virus after $n$ cycles. There were three people originally infected with the virus, and each of them infected $x$ people. So $3\cdot x^4$ is the number of people infected on the fourth cycle. At the fourth cycle 1875 people were infected. Simplify the expression $\sqrt[4]{\frac{1875}{3}}$ to determine the number of people each person infected.

OpenStax, Elementary Algebra 2e · §9.7 Higher Roots · Exercise 80