SOLUTION: How would I write 912673^5334 as a power of 9409?

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Question 1129501: How would I write 912673^5334 as a power of 9409?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
On my calculator:
+912673+=+9409%2A97+
+%289409%2A97%29%5E5334+
Note that:
+97%5E2+=+9409+, so
+%28+9409%2A%28+9409%29%5E%281%2F2%29+%29%5E5334+
+%28+9409%5E5334+%29%2A%28+9409%5E%28+5334%2F2+%29%29+
+9409%5E%28+5334+%2B+2667+%29+
+9409%5E8001+
--------------------------
check:
Take the log of both sides
+5334%2Alog%28+912673+%29+=+8001%2Alog%28+9409+%29+
+5334%2A5.960315203+=+8001%2A3.9735435+
+31792.32129+=+31792.32154+
Looks close enough to me