SOLUTION: What is the value of x in the equation {{{3log(x,(1/81))-12=0}}}

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Question 1074457: What is the value of x in the equation 3log%28x%2C%281%2F81%29%29-12=0
Answer by AnlytcPhil(1807) About Me  (Show Source):
You can put this solution on YOUR website!

 3log%28x%2C%281%2F81%29%29-12=0

 3log%28x%2C%281%2F81%29%29=12

 log%28x%2C%281%2F81%29%29=4

x%5E4=%281%2F81%29

x%5E4=1%2F3%5E4

x%5E4=%281%2F3%29%5E4

Take 4th roots of both sides:

x=%22%22+%2B-+1%2F3

That base of a logarithm can only be positive and not 1.

x=1%2F3

Edwin