A radioisotope is used as a medical tracer that can be detected using a gamma camera.
The isotope has a physical half-life of 6.0 days6.0\text{ days}6.0 days.
A patient is injected with this isotope with an initial activity of 5.4 GBq5.4\text{ GBq}5.4 GBq. For this patient, the biological half-life is 12 days12\text{ days}12 days. For safety reasons, the patient cannot be discharged from the hospital until the activity due to the isotope in the patient's body drops below 1.5 GBq1.5\text{ GBq}1.5 GBq.
Determine whether the patient can be safely released from the hospital after 7.0 days7.0\text{ days}7.0 days.
