If x is a real number, then is a real number if and only if
Correct Answer :
1 ≤ x ≤3
Solution :
For the logarithmic expression to be a real number, the argument must be strictly greater than 0, and the base must be positive and not equal to 1.
Here, the expression is .
Therefore, we require:
Taking the logarithm to the base 2 on both sides:
1 ≤ x ≤3
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