I have to turn the equation on the top into the equation on the bottom and I am stuck. In (y) – In (500 – y) = 500kt + C%3Dis the number of infected individuals in an epidemic, t is time, k is a rateconstant, and C is another constant. Use log and exponent rules to show thatHere500Dy(t)%3DD+e-500ktWhen you encounter an e, re-write it as D to declutter. This is a heavy duty alge-bra problem. If you can do this, you can handle most of the algebraic manipulationsthat willappearin this class! Hint: the last step is to multiply the numerator anddenominator by e-500kt

Given,lny-ln500-y = 500 kt +Cwe know that,ln(a) - ln(b) = ln(ab)using this property of…

In (y) – In (500 – y) = 500kt + C is the number of infected individuals in an epidemic, t is time, k is a rate constant, and C is another constant. Use log and exponent rules to show that Here 500D y(t) D +e-500kt you encounter an e, re-write it as D to declutter. This is a heavy duty alge- bra problem. If you can do this, you can handle most of the algebraic manipulations that will appear in this class! Hint: the last step is to multiply the numerator and denominator by e When -500kt