The value of ( _ 0.5 ^24) is - Vidyadip

MCQ

The value of $\sqrt {(\log _{0.5}^24)} $ is

A
$-2$
B
$\sqrt {( - 4)} $
✓
$2$
D
None of these

✓

Answer

Correct option: C.

$2$

c
(c) $\sqrt {\log _{0.5}^24} = \sqrt {{{\{ {{\log }_{0.5}}{{(0.5)}^{ - 2}}\} }^2}} = \sqrt {{{( - 2)}^2}} = 2$.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

JEE STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

${\left( {\frac{{\sqrt 3 + i}}{2}} \right)^6} + {\left( {\frac{{i - \sqrt 3 }}{2}} \right)^6}$is equal to

The points $A\,(a),\,B\,(b),\,C\,(c)$ will be collinear if

If $f: R \rightarrow R$ is a function defined by $f(x)=[x-1] \cos \left(\frac{2 x-1}{2}\right) \pi,$ where $[.]$ denotes the greatest integer function, then $f$ is

The $n^{th}$ term of the series $\frac{2}{{1!}} + \frac{7}{{2\,!}} + \frac{{15}}{{3\,!}} + \frac{{26}}{{4\,!}} + .....$ is

Area bounded by curves $y = {x^2}$ and $y = 2 - {x^2}$ is

Equation of angle bisector between the lines $3x + 4y - 7 = 0$ and $12x + 5y + 17 = 0$are

If the roots of the equation $A{x^2} + Bx + C = 0$ are $\alpha ,\beta $ and the roots of the equation ${x^2} + px + q = 0$ are ${\alpha ^2},\;{\beta ^2}$, then value of $p$ will be

Let the system of linear equations

$x+y+\alpha z=2$

$3 x+y+z=4$

$x+2 z=1$

have a unique solution $\left(x^{*}, y^{*}, z^{*}\right)$. If $\left(\alpha, x^{*}\right),\left(y^{*}, \alpha\right)$ and $\left(x^{*},-y^{*}\right)$ are collinear points, then the sum of absolute values of all possible values of $\alpha$ is

A factory is operating in two shifts, day and night, with $70$ and $30$ workers respectively . If per day mean wage of the day shift workers is $Rs. 54$ and per day mean wage of all the workers is $Rs. 60,$ then per day mean wage of the night shift workers(in $Rs. $ )is

The total number of six digit numbers, formed using the digits $4,5,9$ only and divisible by $6$ , is $.........$.