Answer :

[tex]log_\frac{1}{3}27=log_\frac{1}{3}3^3=3\cdot log_\frac{1}{3}3=3log_\frac{1}{3}\left(\frac{1}{3}\right)^{-1}=-1\cdot3log_\frac{1}{3}\frac{1}{3}=-3[/tex]

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