SOLUTION: (1/3)^log3(sqrt(2)) Find the exact value

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Question 982324: (1/3)^log3(sqrt(2))
Find the exact value
Answer by ikleyn(52867) About Me  (Show Source):
You can put this solution on YOUR website!

%281%2F3%29%5Elog%283%2C+sqrt%282%29%29 = 1%2F%283%5Elog%283%2C+sqrt%282%29%29%29 = 1%2Fsqrt%282%29

since  3%5Elog%283%2C+sqrt%282%29%29 = sqrt%282%29.

Recall the general formula  a%5Elog%28a%2C+x%29 = x.