If _5 a. _a x = 2,then x is equal to - Vidyadip

MCQ

If ${\log _5}a.{\log _a}x = 2,$then $x$ is equal to

A
$125$
B
${a^2}$
✓
$25$
D
None of these

✓

Answer

Correct option: C.

$25$

c
(c) ${\log _5}a.{\log _a}x = 2$ $\Rightarrow $ ${\log _5}x = 2$

$ \Rightarrow $ $x = {5^2} = 25$.

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

Let for two distinct values of $p$ the lines $y=x+p$ touch the ellipse E : $\frac{x^2}{4^2}+\frac{y^2}{3^2}=1$ at the points A and B. Let the line $y = x$ intersect $E$ at the points $C$ and $D$. Then the area of the quadrilateral $A B C D$ is equal to

The first four terms in the expansion of ${(1 - x)^{3/2}}$ are

Let $a_{1}, a_{2} \ldots, a_{n}$ be a given $A.P.$ whose common difference is an integer and $S _{ n }= a _{1}+ a _{2}+\ldots+ a _{ n }$ If $a_{1}=1, a_{n}=300$ and $15 \leq n \leq 50,$ then the ordered pair $\left( S _{ n -4}, a _{ n -4}\right)$ is equal to

The tangent and normal at $P(t),$ for all real positive $t,$ to the parabola $y^2 = 4ax $ meet the axis of the parabola in $ T $ and $G$ respectively, then the angle at which the tangent at $P $ to the parabola is inclined to the tangent at $P$ to the circle passing through the points $P, T$ and $G$ is

A certain $12-$hour digital clock displays the hour and the minute of a day. Due to a defect in the clock whenever the digit $1$ is supposed to be displayed it displays $7$. What fraction of the day will the clock show the correct time?

The integral $\int_{\pi /6}^{\pi /3} {{{\sec }^{2/3}}\,x\,\,\cos e{c^{4/3}}\,x\,dx} $ is equal to

$[b \times c\,\,c \times a\,\,a \times b]$ is equal to

$\smallint \frac{{dx}}{{{x^2}{{\left( {{x^4} + 1} \right)}^{\frac{3}{4}}}}} = $

$\mathop {\lim }\limits_{x \to 0} \,\left( {\frac{{x - \sin \,x}}{x}} \right)\,\sin \,\left( {\frac{1}{x}} \right)$

If $\sin x + {\rm{cosec}}\,x = 2,$ then $sin^n x + cosec^n x$ is equal to