SOLUTION: How do you evaluate log base 3(1/81) ?

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Question 422152: How do you evaluate log base 3(1/81) ?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

in log base 3(1/81)
what should be the power of base(3) so that answer is (1/81)
can also be written as 3%5Ex=1%2F81
since 81=3%5E4 ...=>...1%2F81+=+81%5E-1+=+%283%5E4%29%5E-1+=+3%5E-4
so x should be -4
log_base_+3%281%2F81%29=-4+

can also be written as 3%5E%28-4%29=1%2F81
Answer is (-4)