Research shows that the residual amount of a certain drug in a user's body decreases exponentially over time after taking the drug. It is known that 2 hours after taking the drug, half of the drug dose remains in the body. Which of the following options is correct?
(1) After 3 hours, the body still retains $\frac{1}{3}$ of the drug dose
(2) After 4 hours, the body still retains $\frac{1}{4}$ of the drug dose
(3) After 6 hours, the body still retains $\frac{1}{6}$ of the drug dose
(4) After 8 hours, the body still retains $\frac{1}{8}$ of the drug dose
(5) After 10 hours, the body still retains $\frac{1}{10}$ of the drug dose
Research shows that the residual amount of a certain drug in a user's body decreases exponentially over time after taking the drug. It is known that 2 hours after taking the drug, half of the drug dose remains in the body. Which of the following options is correct?\\
(1) After 3 hours, the body still retains $\frac{1}{3}$ of the drug dose\\
(2) After 4 hours, the body still retains $\frac{1}{4}$ of the drug dose\\
(3) After 6 hours, the body still retains $\frac{1}{6}$ of the drug dose\\
(4) After 8 hours, the body still retains $\frac{1}{8}$ of the drug dose\\
(5) After 10 hours, the body still retains $\frac{1}{10}$ of the drug dose