I made a lot of typos the first time i wrote it so i rewrote and edited the question

Question

Both antibiotics were prescribed in high dosage slow release capsules. The function C(x) = 5log(x+1)+10 models the concentration of levofloxacin in mol/L over a time x, in hours. The function D(x)=5log(x+1)+10 models the concentration of levofloxcin and metrinidazole in mol/L over time x, in hours.

a) Which of the two drugs has a higher initial concentration in the blood stream? Justify your answer with an explanation.

b) Determine when C(x) = D(x) algebraically and state what this represents in this situation.

c) If Mathews is instructed to take both antibiotics at once the concentration levels could be modeled by the function (C + D)(x). How would the graph of (C + D)(x) differ from the individual graphs of C(x) and D(x)? Explain.

Answer 1

C(x) = 5log(x+1)+10
D(x)=5log(x+1)+10 These are the same function!