Conditions on the Parameters of Logarithm Function
The number of...
Question
The number of integral solutions of the inequation log2(x−1|≤1 is
A
4
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B
3
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C
2
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D
5
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Solution
The correct option is A 4 Giventhatlog2(x−1|≤1Forlog2(x−1|tobedefined,x−1≠0⇒x≠1...[1]log2(x−1|≤1⇒0<(x−1|≤21=2⇒−2≤x−1≤2⇒−1≤x≤3...[2]From[1]and[2],wegetx=−1,0,2,3Therefore,thenumberofintegralsolutionsis4.