_7 _7 7(7 7 ) = - Vidyadip

MCQ

${\log _7}{\log _7}\sqrt {7(\sqrt {7\sqrt 7 } )} = $

A
$3{\log _2}7$
B
$1 - 3{\log _3}7$
✓
$1 - 3{\log _7}2$
D
None of these

✓

Answer

Correct option: C.

$1 - 3{\log _7}2$

c
(c) ${\log _7}{\log _7}\sqrt {7\sqrt {7\sqrt 7 } } = {\log _7}{\log _7}{7^{7/8}} = {\log _7}(7/8)$

$ = {\log _7}7 - {\log _7}8 = 1 - {\log _7}{2^3} = 1 - 3{\log _7}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

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

The value of $\mathop {\lim }\limits_{n \to \infty } \frac{{{x^n}}}{{{x^n} + 1}}$ where $x < - 1$ is

$(p - q)x + (q - r)y + (r - p) = 0$

$(q - r)x + (r - p)y + (p - q) = 0$

$(r - p)x + (p - q)y + (q - r) = 0$ are

The standard deviation of the data $6, 5, 9, 13, 12, 8, 10$ is:

For a given distribution of marks mean is $35.16$ and its standard deviation is $19.76$. The co-efficient of variation is..

The distance of the lines $2x - 3y = 4$from the point $(1, 1)$ measured parallel to the line $x + y = 1$ is

If two circles ${(x - 1)^2} + {(y - 3)^2} = {r^2}$ and ${x^2} + {y^2} - 8x + 2y + 8 = 0$ intersect in two distinct points, then

If $\tan\text{A}=\frac{\text{a}}{\text{a}+1}$ and $\text{B}=\frac{1}{2\text{a}+1},$ then the value of A + B is:

If $\log _{10} 2, \log _{10} (2^x + 1), \log _{10} (2^x + 3)$ are in $A.P.,$ then :-

The first three of four given numbers are in $G.P.$ and their last three are $A.P.$ with common difference $6.$ If first and fourth numbers are equal, then the first number is:

A vector $\vec a$ has components $3 p$ and $1$ with respect to a rectangular cartesian system. This system is rotated through a certain angle about the origin in the counter clockwise sense. If, with respect to new system, $\overrightarrow{\text { a }}$ has components $p +1$ and $\sqrt{10},$ then a value of $p$ is equal to