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

The correct option is C (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 94 times! Enjoying our articles? Unlock Full Access!

Byju's Answer

Standard IX

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

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].