SOLUTION: Find the number log5(1/5) possible answers: -5 -1 0.2 1 Please explain it to me. Thanx

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Question 72683: Find the number log5(1/5)
possible answers:
-5
-1
0.2
1
Please explain it to me. Thanx
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Evaluate:
Log%5B5%5D%281%2F5%29
Log%5B5%5D%281%2F5%29+=+x Rewrite this in exponential form:
5%5Ex+=+1%2F5 Rewrite the right side as an exponent:
5%5Ex+=+5%5E%28-1%29 Apply the identity: If+a%5En+=+a%5Em then n+=+m
x+=+-1