SOLUTION: what is the answer of log9 X=-1/2 in algebra

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Question 404096: what is the answer of log9 X=-1/2 in algebra
Answer by Earlsdon(6287) About Me  (Show Source):
You can put this solution on YOUR website!
Solve for x:
Log%5B9%5D%28x%29+=+-1%2F2
Recall that: Log%5Bb%5D%28x%29+=+y can be expressed as an exponential: b%5Ey+=+x, so...
Log%5B9%5D%28x%29+=+-1%2F2 can be expressed as:
9%5E%28-1%2F2%29+=+x or 1%2Fsqrt%289%29+=+x so that x+=+1%2F3