SOLUTION: log4[log4(2x)]=1

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Question 1081393: log4[log4(2x)]=1
Answer by math_helper(2461) About Me  (Show Source):
You can put this solution on YOUR website!
log4[log4(2x)]=1
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I assume you want to solve for x. In the future you should clearly ask your question.
+log%284%2C%28log%284%2C%282x%29%29%29%29=1+
Raise 4 to both sides:
+4%5Elog%284%2C%28log%284%2C%282x%29%29%29%29+=+4%5E1+
This simplifies to:
+log%284%2C%282x%29%29+=+4+
Again, raise 4 to both sides:
+4%5Elog%284%2C%282x%29%29+=+4%5E4+
This simplifies to:
++2x+=+256+
++x+=+highlight%28128%29+
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Check: log%284%2C+%28log%284%2C%282%2A128%29%29%29%29+=+log%284%2C+%284%29%29+=+1+