SOLUTION: {{{2^x=7}}} What is value of x? Could you explain how you got to the answer ?

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Question 495653: 2%5Ex=7
What is value of x? Could you explain how you got to the answer ?
Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
2%5Ex=7
Take the log of both sides
log%282%5Ex%29+=+log%287%29
x*log(2) = log(7)
x = log(7)/log(2)
x =~ 2.80735