Competition problem — Algebra — Maths Olympiad Prep

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Algebra Difficulty 1.9 Junior Find the answer

The domain of the function $y=\log_{2}(x-1)$ is

Pick one

Solution

The domain of the function $y=\log_{2}(x-1)$ is determined by the condition:
$x-1>0$ ,
Solving this, we get $x>1$ .
Therefore, the correct option is $\boxed{C}$ .

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Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic and difficulty added by this site.