SOLUTION: What is the answer to 5^2x = 8?

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Question 39440: What is the answer to 5^2x = 8?
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
+5%5E%282x%29+=+8+

Take logs - to base 5 of both sides:
+2x+=+log8+ --> this log is base5

and now convert this to a base10 calculation, so that you can use your calculator:
+2x+=+%28log%288%29%29%2F%28log%285%29%29+ --> this is base10
+x+=+%28log%288%29%29%2F%282log%285%29%29+ --> this is base10

jon.