Medical Professionals Sometimes Use Iodine-131, a Radioactive Substance, to Diagnose $= e ^ { ( \ln ( 1 / 2 ) / 8 ) t }$

Essay

Medical professionals sometimes use iodine-131, a radioactive substance, to diagnose certain conditions of the thyroid gland. The formula for the proportion P of iodine-131 remaining in a patient's system t days after receiving the substance is given by P $= e ^ { ( \ln ( 1 / 2 ) / 8 ) t }$ .(a) Find the inverse of this function and explain its meaning.(b) How long does it take for the proportion to drop to 10% of the original dosage?