SOLUTION: How do I solve log base of 125 1/5?

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Question 572732: How do I solve log base of 125 1/5?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+x+=+log%28125%2C%281%2F5%29%29+
I can rewrite this as:
+125%5Ex+=+1%2F5+
+%285%5E3%29%5Ex+=+1%2F5+
+5%5E%283x%29+=+1%2F5+
Take the log to the base 5 of both sides
+log%28+5%2C%285%5E%283x%29%29%29+=+log%285%2C%281%2F5%29%29+
+3x+=+-1+
+x+=+-%281%2F3%29+