The domain of the function \sqrt(\log_0.5 x) is:

Logarithms Practice Test 2

Question : 34 of 39

Marks: +1, -0

The domain of the function

√(\log_0.5 x)

is:

Solution:

The function will be real if

\log_0.5 x ≥ 0

i.e., if 0 < x ≤ 1
∵ base = 0.5 < 1
⇒ x ∈ (0.5, 1)

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