SOLUTION: what is the x value of the equation: log base√5 1/5=x thank you!

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Question 830237: what is the x value of the equation: log base√5 1/5=x
thank you!
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
The base is to be sqrt%285%29?

%28sqrt%285%29%29%5Ex=%281%2F5%29
%285%5E%281%2F2%29%29%5Ex=1%2F5
5%5E%28x%2F2%29=1%2F5=5%5E%28-1%29

Because equal bases, the exponents are equal.
x%2F2=-1
highlight%28x=-2%29