SOLUTION: 7log(base7)4=x i can get to 7^x=4^7 but i'm lost after that! (not allowed to use calculators)

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Question 720493: 7log(base7)4=x
i can get to 7^x=4^7 but i'm lost after that!
(not allowed to use calculators)
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
+7%2Alog%28+7%2C4+%29+=+x+
+log%28+7%2C4+%29+=+x%2F7+
+7%5E%28x%2F7%29+=+4+
+%28+7%5Ex%29%5E%281%2F7%29+=+4+
Raise both sides to the 7th power
+7%5Ex+=+16384+
take the log of both sides
+x%2Alog%287%29+=+log%28+16384+%29+
+x+=+log%28+16384+%29+%2F+log%28+7+%29+