SOLUTION: 2^x = 2^y = 196, Find 1/x + 1/y

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Question 1207337: 2^x = 2^y = 196,
Find 1/x + 1/y
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

2%5Ex+=+2%5Ey+=+196
so,
2%5Ex+=+196
log%282%5Ex%29=log%28196%29
x%2Alog%282%29=log%28196%29
x=log%28196%29%2Flog%282%29

similarly we get
y=log%28196%29%2Flog%282%29


then
1%2Fx+%2B+1%2Fy=1%2F%28log%28196%29%2Flog%282%29%29%2B1%2F%28log%28196%29%2Flog%282%29%29

1%2Fx+%2B+1%2Fy=log%282%29%2Flog%28196%29%2Blog%282%29%2Flog%28196%29

1%2Fx+%2B+1%2Fy=2log%282%29%2Flog%28196%29....simplify log%28196%29=log%28%282%2A7%29%5E2%29=2%28log%282%29+%2B+log%287%29%29

1%2Fx+%2B+1%2Fy=2log%282%29%2F2%28log%282%29+%2B+log%287%29%29

1%2Fx+%2B+1%2Fy=log%282%29%2F%28log%282%29+%2B+log%287%29%29