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