If ${\log _{1/\sqrt 2 }}\sin x > 0,x \in [0,\,\,4\pi ],$ then the number of values of $x$ which are integral multiples of ${\pi \over 4},$ is
If ${\log _{1/\sqrt 2 }}\sin x > 0,x \in [0,\,\,4\pi ],$ then the number of values of $x$ which are integral multiples of ${\pi \over 4},$ is
- A
$4$
- B
$12$
- C
$3$
- D
None of these
Similar Questions
Let $a , b , c$ be three distinct positive real numbers such that $(2 a)^{\log _{\varepsilon} a}=(b c)^{\log _e b}$ and $b^{\log _e 2}=a^{\log _e c}$. Then $6 a+5 b c$ is equal to $........$.
Let $a , b , c$ be three distinct positive real numbers such that $(2 a)^{\log _{\varepsilon} a}=(b c)^{\log _e b}$ and $b^{\log _e 2}=a^{\log _e c}$. Then $6 a+5 b c$ is equal to $........$.
- [JEE MAIN 2023]
Which is the correct order for a given number $\alpha $in increasing order
Which is the correct order for a given number $\alpha $in increasing order
Logarithm of $32\root 5 \of 4 $ to the base $2\sqrt 2 $ is
Logarithm of $32\root 5 \of 4 $ to the base $2\sqrt 2 $ is
$\sum\limits_{n = 1}^n {{1 \over {{{\log }_{{2^n}}}(a)}}} = $
$\sum\limits_{n = 1}^n {{1 \over {{{\log }_{{2^n}}}(a)}}} = $
If ${\log _{10}}3 = 0.477$, the number of digits in ${3^{40}}$ is
If ${\log _{10}}3 = 0.477$, the number of digits in ${3^{40}}$ is
- [IIT 1992]