SOLUTION: I need help with the problem: simplify: log_7(7^log_7(343)) thank you

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Question 33522: I need help with the problem: simplify:
log_7(7^log_7(343))
thank you
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
+7%5E3+=+343+

So, in base7, log(343) is log%287%5E3%29 which is 3log%287%29 and log7 in base7 is 1. So, log_7(343) is 3.

So we have now log(7^3) which is again the same thing:
3log7 in base7
is 3

jon.