The domain of the function -log 0-5 x isA- 0- -B- 0-1-C- 0-5-1D- 1- -

The correct option is B (0,1]By definition of log x, x gt;0 and also log_0.5 x≥ 0 ∴ x≤ 1 as in above question, base being less than 1; domain is (0,1]. ...

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard XI

Mathematics

Conditions on the Parameters of Logarithm Function

The domain of...

Question

The domain of the function $\sqrt{(l o g_{0.5} x)}$ is

(1, \infty)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(0, \infty)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

(0, 1]

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

(0.5, 1)

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is C $(0, 1]$
By definition of $l o g x, x > 0$ and also $l o g_{0.5} x \geq 0$
$∴ x \leq 1$ as in above question, base being less than 1;
domain is (0,1].

Suggest Corrections

Similar questions

Q. The domain of the function

\sqrt{(l o g_{0.5} x)}

Q. The domain of the function

\frac{1}{\sqrt{x - | x |}}

The domain of the function $f (x) = \frac{1}{{log}_{10} (1 - x)} + \sqrt{x + 2}$ is

Q. The domain of the function

f (x) = {log}_{2} ({log}_{3} ({log}_{4} (x^{2} - 3 x + 6)))

Join BYJU'S Learning Program

The domain of the function √(log0.5 x) is

The correct option is C (0,1]By definition of log x,x>0 and also log0.5 x≥0 ∴ x≤1 as in above question, base being less than 1; domain is (0,1].

The domain of the function $\sqrt{(l o g_{0.5} x)}$ is

The correct option is C $(0, 1]$
By definition of $l o g x, x > 0$ and also $l o g_{0.5} x \geq 0$
$∴ x \leq 1$ as in above question, base being less than 1;
domain is (0,1].