$\log (9+3 \sqrt{2}(2+\sqrt{5})+4 \sqrt{5})=$
- A$\sinh ^{-1} 3+\cosh ^{-1}\left(\frac{1}{3}\right)$
- B$\cosh ^{-1} 3+\sinh ^{-1} 3$
- C$\tanh ^{-1} 3+\sinh ^{-1} 3$
- D$\cosh ^{-1} 3+\tanh ^{-1} 3$
Explore More
Similar Questions
Evaluate: $\log _7(\log _7\sqrt {7\sqrt {7\sqrt 7 } }) = $
Difficult
View SolutionThe number of real values of the parameter $k$ for which the equation $(\log_{16} x)^2 - \log_{16} x + \log_{16} k = 0$ has exactly one real solution is:
Difficult
View SolutionIf $(\log _{5} x)(\log _{x} 3x)(\log _{3x} y) = \log _{x} x^{3}$, then $y$ equals
If $x = \log_a (bc)$, $y = \log_b (ca)$, and $z = \log_c (ab)$, then the value of $\frac{1}{1+x} + \frac{1}{1+y} + \frac{1}{1+z}$ is
MediumWBJEE 2009
View SolutionThe number of solutions of the equation $\log _{(x+1)}(2 x^{2}+7 x+5)+\log _{(2 x+5)}(x+1)^{2}-4=0$ for $x > 0$ is:
DifficultJEE MAIN 2021
View SolutionVedclass Products
For Students
Vedclass Test Series
Mock tests in real JEE/NEET style with performance analysis. 5-day free trial.
Start Free TrialFor Teachers
Exam Paper Generator
Generate Set A/B/C/D exam papers from 7.5L+ questions in 2 minutes. 3 chapters free.
Try FreeFor Institutes
Online Exam Module
Live online exams with unlimited students, 360° analytics & white-label branding.
See Demo