SOLUTION: 2^x * 6^y = 24 2^2x * 3^y = 48 find the value of x and y?

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Question 206714: 2^x * 6^y = 24
2^2x * 3^y = 48
find the value of x and y?
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
2%5Ex+%2A+6%5Ey+=+24+
2%5Ex+=+24%2F6%5Ey
2%5E%282x%29+%2A+3%5Ey+=+48
4%2A2%5Ex+%2A+3%5Ey+=+48
4%2A%2824%2F6%5Ey%29+%2A+3%5Ey+=+48
%284%2A24%2A3%5Ey%29%2F%286%5Ey%29+=+48
%283%5Ey%29%2F6%5Ey+=+1%2F2
3%5Ey%2F%282%5Ey%2A3%5Ey%29+=+1%2F2
1%2F2%5Ey+=+1%2F2
y+=+1

2%5Ex+%2A+6%5E%281%29+=+24
2%5Ex%2A6+=+24
2%5Ex+=+4
x+=+2
verify the answer. does
2%5E%282%2A2%29+%2A+3%5E%281%29+=+48?
2%5E%284%29+%2A+3+=+48???
16%2A3+=+48???
seems so