Acertain drug dosage calls for 460 mg per kg per day and is divided into four doses (1 every 6 hours). if a person weighs 229 pounds, how many milligrams of the drug should he receive every 6 hours?

11.95 g / 6 hours  

Step-by-step explanation:

drug dosage = 460 mg per kg per day

to be administered every 6 hours to a person who weighs 229 pounds

1 pound = 0.453592 kg

229 pounds = 229 × 1 pound = 229 × 0.453592 kg = 103.873 kg

dosage of drug needed for 103.873 kg

460 mg is to 1 kg per day

103.873 kg = 103.873 × 460 mg per 1 kg per day = 47781.58 mg per 103.873 kg per day

number of 6 hours in a day = 24 hours ÷ 6 hours = 4 times per day

dosage needed per 6 hours

47781.58 ÷ 4 = 11945.395 mg for every 6 hours = 11.95 g / 6 hours  

i found two solutions,   n = 2 • ± √3 = ± 3.4641

step-by-step explanation:

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!