SOLUTION: find an approximate solution to 2^x=3

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Question 382926: find an approximate solution to 2^x=3
Found 2 solutions by Earlsdon, stanbon:
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Find an approximate solution:
2%5Ex+=+3 Take the log of both sides.
Log%282%5Ex%29+=+Log%283%29 Apply the power rule.
xLog%282%29+=+Log%283%29 Divide both sides by Log%282%29
x+=+Log%283%29%2FLog%282%29 Use your calculator.
x+=+1.58Approx.

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
find an approximate solution to 2^x=3
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If you are just guessing you might say x = 1.5.
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I you want the answer take the log to get:
x*log2 = log3
x = log(3)/log(2)
x = 1.584963...
Cheers,
Stan H.