The half –life for the radioactive decay of 32P is 14.3 days. How many days would be required for a couple of a radiopharmaceutical containing 32P to decrease to 20% of its initial activity?

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[tex]m=0,2m*(\frac{1}{2})^{\frac{t}{14,3}} \ \ | \:0,2m\\\\ \frac{m}{0,2m}=(\frac{1}{2})^{\frac{t}{14,3}}\\\\ 5=(\frac{1}{2})^{\frac{t}{14,3}} \\\\ log_{a}b=c \ \ \Leftrightarrow \ \ a^{c}=b\\\\ \frac{t}{14,3}=log_\frac{1}{2}5\\\\ \frac{t}{14,3}=2,31 \ \ |*14,3\\\\ t = 33,033\approx 33days [/tex]