If A = _2 _2 _4 256 + 2 _ 2 , ,2, then A is equal to - Vidyadip

MCQ

If $A = {\log _2}{\log _2}{\log _4}256 + 2{\log _{\sqrt 2 \,}}\,2,$ then $A$ is equal to

A
$2$
B
$3$
✓
$5$
D
$7$

✓

Answer

Correct option: C.

$5$

c
(c) $A = {\log _2}{\log _2}{\log _4}256$ + $2{\log _2}_{^{1/2}}\,2$

$ = {\log _2}{\log _2}{\log _4}{4^4} + 2 \times {1 \over {(1/2)}}{\log _2}2$

$ = {\log _2}{\log _2}4 + 4 = {\log _2}{\log _2}{2^2} + 4$

$ = {\log _2}2 + 4 = 1 + 4 = 5$.

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

More "M.C.Q (1 Marks)" from STD 11 - basic of algoritham→STD 11 - basic of algoritham — all question types→Maths STD 11 Science question papers→CBSE Board STD 11 Science question papers→CBSE Board question paper generator→

Similar questions

If $f(x)=\left\{\begin{array}{ll}\sin x, & x \neq n \pi, \quad n \in I \\ 2, & \text { otherwise }\end{array}\right.$ and $g(x)=\left\{\begin{array}{ll}x^{2}+1, & x \neq 0,2 \\ 2, & x=0 \\ 4, & x=2\end{array}\right.$ then $\lim _{x \rightarrow 0}$$g[f(x)]$ is

$\text{If }\cos\text{A}=\text{m}\cos\text{B},\text{ than }\cot\frac{\text{A+B}}{2}\cot\frac{\text{B}-\text{A}}{2}=$

If the roots of the equation ${x^2} - 5x + 16 = 0$ are $\alpha ,\beta $ and the roots of equation ${x^2} + px + q = 0$ are ${\alpha ^2} + {\beta ^2},$ $\frac{{\alpha \beta }}{2},$ then

In a plane there are $10$ points out of which $4$ are collinear, then the number of triangles that can be formed by joining these points are

Consider the equation of circles

$S_1 : x^2 + y^2 + 24x - 10y + a = 0$

$S_2 : x^2 + y^2 = 36$ which of the following is not correct

Let the coefficients of the middle terms in the expansion of $\left(\frac{1}{\sqrt{6}}+\beta x\right)^{4},(1-3 \beta x)^{2}$ and $\left(1-\frac{\beta}{2} x\right)^{6}, \beta>0$, respectively form the first three terms of an $A.P.$ If $d$ is the common difference of this $A.P.$, then $50-\frac{2 d}{\beta^{2}}$ is equal to.

One side of a rectangle lies along the line $4x + 7y + 5 = 0.$ Two of its vertices are $(-3, 1)$ and $(1, 1)$. Then the equations of other three sides are

Let $N_1=2^{55}+1$ and $N_2=165$.Then

$n^2 < 2^n$ for all natural numbers:

If ${(1 + x)^n} = {C_0} + {C_1}x + {C_2}{x^2} + ... + {C_n}{x^n}$, then the value of ${C_0} + {C_2} + {C_4} + {C_6} + .....$ is