SOLUTION: please help me solve this logarithm for x: y-3=(1/2)^x-2 I am sorry but I really do not know where to start.

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Question 691513: please help me solve this logarithm for x:
y-3=(1/2)^x-2


I am sorry but I really do not know where to start.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
solve this logarithm for x:
y-3=(1/2)^x-2
Assume you mean:
y-3+=+%281%2F2%29%5E%28%28x-2%29%29
Start by finding the log of each side
log%28%28y-3%29%29+=+log%28%28%281%2F2%29%5E%28%28x-2%29%29%29%29
the log equiv of exponents
log%28%28y-3%29%29+=+%28x-2%29%2Alog%28%281%2F2%29%29
Divide both sides by log(1/2)
log%28%28y-3%29%29%2Flog%28%281%2F2%29%29 = x - 2
Add 2 to both sides
x = log%28%28y-3%29%29%2Flog%28%281%2F2%29%29 + 2