SOLUTION: If 3^x+2^y= 995 and 3^x – 2^y= 473, find the value of x+y.

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Question 320905: If 3^x+2^y= 995 and 3^x – 2^y= 473, find the value of x+y.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
1.3%5Ex%2B2%5Ey=+995
2.3%5Ex-2%5Ey=+473
Add eq. 1 and eq. 2 together,
3%5Ex%2B2%5Ey%2B3%5Ex-2%5Ey=1468
2%2A3%5Ex=1468
3%5Ex=734
Then from eq. 1,
734%2B2%5Ey=995
2%5Ey=261
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3%5Ex=734
x=log%283%2C%28734%29%29
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2%5Ey=261
y=log%282%2C%28261%29%29
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x%2By=log%283%2C%28734%29%29%2Blog%282%2C%28261%29%29
x%2By=log%28%28734%29%29%2Flog%28%283%29%29%2Blog%28%28261%29%29%2Flog%28%282%29%29