SOLUTION: Find an approximate rational solution to 2x(2with exponent x) I tried to put in my TI89 as follows but it won’t give a decimal answer. Solve(2^x=7,x) Thanks!

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Question 106107: Find an approximate rational solution to 2x(2with exponent x) I tried to put in my TI89 as follows but it won’t give a decimal answer.
Solve(2^x=7,x)
Thanks!
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Try using logarithms.
log%282%5Ex%29+=+log%287%29
xlog%282%29+=+log%287%29
x+=+log%287%29%2Flog%282%29
x+=+2.8073549