1
NDA 2019 Paper 2
MCQ (Single Correct Answer)
+2.5
-0.83
If $${x^{{{\log }_7}x}} > 7$$ where x > 0, then which one of the following is correct?
A
$$x \in (0,\infty )$$
B
$$x \in \left( {{1 \over 7},7} \right)$$
C
$$x \in \left( {0,{1 \over 7}} \right) \cup (7,\infty )$$
D
$$x \in \left( {{1 \over 7},\infty } \right)$$
2
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language
If $\log _b a=p, \log _d c=2 p$ and $\log _f e=3 p$, then what is $(a c e)^{\frac{1}{p}}$ equal to ?
A

$bd^2 f^3$

B

$bdf$

C

$b^3 d^2 f$

D

$b^2 d^2 f^2$

3
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

What is the number of solutions of $\log_4(x - 1) = \log_2(x - 3)$?

A

Zero

B

One

C

Two

D

Three

4
NDA Mathematics 21 April 2024
MCQ (Single Correct Answer)
+2.5
-0.83
Change Language

For $x \geq y > 1$, let $\log_x\left( \frac{x}{y} \right) + \log_y\left(\frac{y}{x}\right) = k$, then the value of $k$ can never be equal to :

A

$-1$

B

$-\frac{1}{2}$

C

0

D

1

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