A) \[-27\]
B) \[-4\]
C) 4
D) 27
Correct Answer: B
Solution :
(b): Let \[lo{{g}_{(-1/3)}}81=x.\] Then, \[{{\left( -\frac{1}{3} \right)}^{x}}=81={{3}^{4}}={{\left( -3 \right)}^{4}}={{\left( -\frac{1}{3} \right)}^{-4}}\] \[\therefore x=-\,4\,\,i.e.,\,\,lo{{g}_{(-1/3)}}81=-4\]
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