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Answer :

[tex]\begin{gathered} P=10(3)^t \\ 20=10\times3^t \\ 3^t=2 \\ \text{Take log of both side.} \\ \log (3^t)=\log 2 \\ t\log 3=\log 2 \\ t=\frac{\log 2}{\log 3} \\ t=0.63 \end{gathered}[/tex]