SOLUTION: If {{{ log(3,(log(2,(log(3,x))))) = 1}}} Show that x = 6561

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Question 478171: If
+log%283%2C%28log%282%2C%28log%283%2Cx%29%29%29%29%29+=+1
Show that x = 6561
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
log(3,(log(2,(log(3,x))))) = 1
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Peal the logs off from left to right:
log(2,(log(3,x)))) = 3
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(log(3,x)) = 2^3 = 8
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x = 3^8 = 6561
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Cheers,
Stan H.
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Show that x = 6561