SOLUTION: If log of (y + 1) to base 2 = 2log of x + c to base 2 and y = 3 when x = 2, find y in terms of x

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Question 1179269: If log of (y + 1) to base 2 = 2log of x + c to base 2 and y = 3 when x = 2, find y in terms of x
Answer by greenestamps(13195) About Me  (Show Source):
You can put this solution on YOUR website!


log%282%2Cy%2B1%29=2log%282%2Cx%2Bc%29
log%282%2Cy%2B1%29=log%282%2C%28x%2Bc%29%5E2%29
y%2B1=%28x%2Bc%29%5E2

y is 3 when x is 2:

3%2B1=%282%2Bc%29%5E2
2%5E2=%282%2Bc%29%5E2
2=2%2Bc
c=0

y%2B1=%28x%2B0%29%5E2=x%5E2
y+=+x%5E2-1