SOLUTION: This has made me lose sleep: Solve the logarithmic equation. be sure to reject any value that is not in the domain of the original logarithmic expression. give the exact answer:

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Question 134670: This has made me lose sleep:
Solve the logarithmic equation. be sure to reject any value that is not in the domain of the original logarithmic expression. give the exact answer:
log2(x-1)=1+log2(x-5) (2 is lower)
Thanks much

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
log2(x-1)=1+log2(x-5)
log2(x-1)-log2(x-5) = 1
log2[(x-1)/(x-5)] = 1
(x-1)/(x-5) = 2^1
x-1 = 2(x-5)
x-1 = 2x-10
x = 9
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Cheers,
Stan H.