Answer:
[tex]t \: = \: 36.86 \: hrs.[/tex]
Step-by-step explanation:
[tex]if \: A = p(2) {}^{ \frac{t}{3} } \: then \: \frac{t}{3} \: = log_{2}( \frac{A}{p} ) \\ so \: \frac{t}{3} = log_{2}( \frac{1.0 \times {10}^{6} }{2.0 \times {10}^{2} } ) = \\ \frac{t}{3} = 12.2877 \: hence \: t \: is \: 12.2877 * 3 = 36.8631 [/tex]
