SOLUTION: Solve for x e^(2In(2x)) = 4

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Question 1971: Solve for x e^(2In(2x)) = 4
Answer by longjonsilver(2297) About Me  (Show Source):
You can put this solution on YOUR website!
e%5E%282ln%282x%29%29+=+4
Take logs of both sides, to remove the e power
2ln(2x) = ln4
2ln(2x) = ln2%5E2
2ln(2x) = 2ln2
ln(2x) = ln2
raise everything to power of e, to remove the logs
2x = 2
x=1
CHECK...always a good thing to do.
e%5E%282ln%282%29%29 plug this into your calculator and you get 4, so x=1 is correct.
or manually :-): e%5E%28ln%282%5E2%29%29 --> e%5E%28ln%284%29%29
Now, e%5E%28ln%28x%29%29 just leaves x, so ours just leaves the 4 --> the answer
cheers
jon