exam Maths Puzzle Numerical Ability

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

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Hi I hope I can explain the question.
The data set is known to be nonlinear. One of these quadratic regression models
X Y is for the data.
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