Logarithms · Mathematics · NDA
MCQ (Single Correct Answer)
1
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 ?
NDA Mathematics 21 April 2024
2
What is the number of solutions of $\log_4(x - 1) = \log_2(x - 3)$?
NDA Mathematics 21 April 2024
3
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 :
NDA Mathematics 21 April 2024
4
What is the minimum value of the function f(x) = log10(x2 + 2x + 11) ?
NDA Mathematics 4 September 2022
5
If f(x) = ln (x + $\sqrt{1+\text{x}^2}$), then which one of the following is correct ?
NDA Mathematics 4 September 2022
6
A radioactive substance decays at a rate proportional to the amount of substance present. If half of the substance decays in 100 years, then what is the decay constant (proportionality constant) ?
NDA Mathematics 10 April 2022
7
The value of x, satisfying the equation $log_{cos x} ~sin x = 1$, where $0<x<\dfrac{\pi}{2}$, is
NDA Mathematics 18 April 2021
8
If n = 100!, then what is the value of the following?
$\rm \dfrac{1}{log_2n}+\dfrac{1}{log_3n}+\dfrac{1}{log_4n}+{.....}+\dfrac{1}{log_{100}n}$
NDA Mathematics 18 April 2021